Mixing
Adding multiple percentages to value
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Good morning,
Apologies if this question seems obvious but I need a little help with adding multiple percentages to a value.
The value: $590,568$
The percentages: $14.62%, 49.068%, 2%$
My understanding is as follows:
$frac14.62 100 = 0.1462$
$590,568 times 0.1462 = 86,341.0416$
$frac49.068 100 = 0.49068$
$590,568 times 0.49068 = 289,779.90624$
$frac2 100 = 0.02$
$590,568 times 0.02 = 11,811.36$
$590,568 + 86,341.0416 + 289,779.90624 + 11,811.36 = 387,932.30784 $
$590,568 + 387,932.30784 = 978,500.30784$
My question is if this is correct or should I be multiplying each percentage (after it's been divided by $100$) by the new total so e.g. ($590,568 + 86,341.0416) times 49.068$
Thank you in advance
percentages
edited Jul 17 at 9:18
Entrepreneur
16019
asked Jul 17 at 8:32
Anthony D B
32
 |Â
show 2 more comments
up vote
0
down vote
favorite
Good morning,
Apologies if this question seems obvious but I need a little help with adding multiple percentages to a value.
The value: $590,568$
The percentages: $14.62%, 49.068%, 2%$
My understanding is as follows:
$frac14.62 100 = 0.1462$
$590,568 times 0.1462 = 86,341.0416$
$frac49.068 100 = 0.49068$
$590,568 times 0.49068 = 289,779.90624$
$frac2 100 = 0.02$
$590,568 times 0.02 = 11,811.36$
$590,568 + 86,341.0416 + 289,779.90624 + 11,811.36 = 387,932.30784 $
$590,568 + 387,932.30784 = 978,500.30784$
My question is if this is correct or should I be multiplying each percentage (after it's been divided by $100$) by the new total so e.g. ($590,568 + 86,341.0416) times 49.068$
Thank you in advance
percentages
edited Jul 17 at 9:18
Entrepreneur
16019
asked Jul 17 at 8:32
Anthony D B
32
2
Welcome to MSE. For some basic information about writing mathematics at this site see, e.g., basic help on mathjax notation, mathjax tutorial and quick reference, main meta site math tutorial and equation editing how-to.
– José Carlos Santos
Jul 17 at 8:34
Please state the precise problem statement. "Adding multiple percentages" is an ambiguous formulation.
– Christoph
Jul 17 at 8:37
Thank you Jośe. Apologies Christoph does the example not help?
– Anthony D B
Jul 17 at 8:39
1
The question you are asking is precisely the ambiguity in the phrase "adding multiple percentages". So no, it doesn't help.
– Christoph
Jul 17 at 8:44
I think Christoph's point is that unless we see the original questions we cannot tell what was intended. "Adding multiple percentages" could mean add them consecutively to the same base (as you have done in the example) or it could mean compounding the percentages. Without seeing the wording of the original question, we cannot tell.
– gandalf61
Jul 17 at 8:45
 |Â
show 2 more comments
up vote
0
down vote
favorite
up vote
0
down vote
favorite
Good morning,
Apologies if this question seems obvious but I need a little help with adding multiple percentages to a value.
The value: $590,568$
The percentages: $14.62%, 49.068%, 2%$
My understanding is as follows:
$frac14.62 100 = 0.1462$
$590,568 times 0.1462 = 86,341.0416$
$frac49.068 100 = 0.49068$
$590,568 times 0.49068 = 289,779.90624$
$frac2 100 = 0.02$
$590,568 times 0.02 = 11,811.36$
$590,568 + 86,341.0416 + 289,779.90624 + 11,811.36 = 387,932.30784 $
$590,568 + 387,932.30784 = 978,500.30784$
My question is if this is correct or should I be multiplying each percentage (after it's been divided by $100$) by the new total so e.g. ($590,568 + 86,341.0416) times 49.068$
Thank you in advance
percentages
edited Jul 17 at 9:18
Entrepreneur
16019
asked Jul 17 at 8:32
Anthony D B
32
Good morning,
Apologies if this question seems obvious but I need a little help with adding multiple percentages to a value.
The value: $590,568$
The percentages: $14.62%, 49.068%, 2%$
My understanding is as follows:
$frac14.62 100 = 0.1462$
$590,568 times 0.1462 = 86,341.0416$
$frac49.068 100 = 0.49068$
$590,568 times 0.49068 = 289,779.90624$
$frac2 100 = 0.02$
$590,568 times 0.02 = 11,811.36$
$590,568 + 86,341.0416 + 289,779.90624 + 11,811.36 = 387,932.30784 $
$590,568 + 387,932.30784 = 978,500.30784$
My question is if this is correct or should I be multiplying each percentage (after it's been divided by $100$) by the new total so e.g. ($590,568 + 86,341.0416) times 49.068$
Thank you in advance
percentages
edited Jul 17 at 9:18
Entrepreneur
16019
asked Jul 17 at 8:32
Anthony D B
32
edited Jul 17 at 9:18
Entrepreneur
16019
edited Jul 17 at 9:18
Entrepreneur
16019
edited Jul 17 at 9:18
Entrepreneur
16019
16019
asked Jul 17 at 8:32
Anthony D B
32
asked Jul 17 at 8:32
Anthony D B
32
asked Jul 17 at 8:32
Anthony D B
32
32
2
Welcome to MSE. For some basic information about writing mathematics at this site see, e.g., basic help on mathjax notation, mathjax tutorial and quick reference, main meta site math tutorial and equation editing how-to.
– José Carlos Santos
Jul 17 at 8:34
Please state the precise problem statement. "Adding multiple percentages" is an ambiguous formulation.
– Christoph
Jul 17 at 8:37
Thank you Jośe. Apologies Christoph does the example not help?
– Anthony D B
Jul 17 at 8:39
1
The question you are asking is precisely the ambiguity in the phrase "adding multiple percentages". So no, it doesn't help.
– Christoph
Jul 17 at 8:44
I think Christoph's point is that unless we see the original questions we cannot tell what was intended. "Adding multiple percentages" could mean add them consecutively to the same base (as you have done in the example) or it could mean compounding the percentages. Without seeing the wording of the original question, we cannot tell.
– gandalf61
Jul 17 at 8:45
 |Â
show 2 more comments
2
Welcome to MSE. For some basic information about writing mathematics at this site see, e.g., basic help on mathjax notation, mathjax tutorial and quick reference, main meta site math tutorial and equation editing how-to.
– José Carlos Santos
Jul 17 at 8:34
Please state the precise problem statement. "Adding multiple percentages" is an ambiguous formulation.
– Christoph
Jul 17 at 8:37
Thank you Jośe. Apologies Christoph does the example not help?
– Anthony D B
Jul 17 at 8:39
1
The question you are asking is precisely the ambiguity in the phrase "adding multiple percentages". So no, it doesn't help.
– Christoph
Jul 17 at 8:44
I think Christoph's point is that unless we see the original questions we cannot tell what was intended. "Adding multiple percentages" could mean add them consecutively to the same base (as you have done in the example) or it could mean compounding the percentages. Without seeing the wording of the original question, we cannot tell.
– gandalf61
Jul 17 at 8:45
2
2
Welcome to MSE. For some basic information about writing mathematics at this site see, e.g., basic help on mathjax notation, mathjax tutorial and quick reference, main meta site math tutorial and equation editing how-to.
– José Carlos Santos
Jul 17 at 8:34
Welcome to MSE. For some basic information about writing mathematics at this site see, e.g., basic help on mathjax notation, mathjax tutorial and quick reference, main meta site math tutorial and equation editing how-to.
– José Carlos Santos
Jul 17 at 8:34
Please state the precise problem statement. "Adding multiple percentages" is an ambiguous formulation.
– Christoph
Jul 17 at 8:37
Please state the precise problem statement. "Adding multiple percentages" is an ambiguous formulation.
– Christoph
Jul 17 at 8:37
Thank you Jośe. Apologies Christoph does the example not help?
– Anthony D B
Jul 17 at 8:39
Thank you Jośe. Apologies Christoph does the example not help?
– Anthony D B
Jul 17 at 8:39
1
1
The question you are asking is precisely the ambiguity in the phrase "adding multiple percentages". So no, it doesn't help.
– Christoph
Jul 17 at 8:44
The question you are asking is precisely the ambiguity in the phrase "adding multiple percentages". So no, it doesn't help.
– Christoph
Jul 17 at 8:44
I think Christoph's point is that unless we see the original questions we cannot tell what was intended. "Adding multiple percentages" could mean add them consecutively to the same base (as you have done in the example) or it could mean compounding the percentages. Without seeing the wording of the original question, we cannot tell.
– gandalf61
Jul 17 at 8:45
I think Christoph's point is that unless we see the original questions we cannot tell what was intended. "Adding multiple percentages" could mean add them consecutively to the same base (as you have done in the example) or it could mean compounding the percentages. Without seeing the wording of the original question, we cannot tell.
– gandalf61
Jul 17 at 8:45
 |Â
show 2 more comments
1 Answer
1
active
oldest
votes
up vote
0
down vote
accepted
You did well.
You can also think of it like this: all of those percentages are going to be portions of the same quantity (590,568), so you can add them together first $$14.62% + 49.068% + 2% = 65.688%$$
then you take the 65.688% of 590,568 (which is 590,568*0.65688 = 387,932.3) and that's the amount that you need to add: $$590,568 + 387,932.3 = 978,500.3$$
answered Jul 17 at 9:20
Ziofil
551416
Thank you so much.
– Anthony D B
Jul 17 at 9:40
add a comment |Â
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
0
down vote
accepted
You did well.
You can also think of it like this: all of those percentages are going to be portions of the same quantity (590,568), so you can add them together first $$14.62% + 49.068% + 2% = 65.688%$$
then you take the 65.688% of 590,568 (which is 590,568*0.65688 = 387,932.3) and that's the amount that you need to add: $$590,568 + 387,932.3 = 978,500.3$$
answered Jul 17 at 9:20
Ziofil
551416
Thank you so much.
– Anthony D B
Jul 17 at 9:40
add a comment |Â
up vote
0
down vote
accepted
You did well.
You can also think of it like this: all of those percentages are going to be portions of the same quantity (590,568), so you can add them together first $$14.62% + 49.068% + 2% = 65.688%$$
then you take the 65.688% of 590,568 (which is 590,568*0.65688 = 387,932.3) and that's the amount that you need to add: $$590,568 + 387,932.3 = 978,500.3$$
answered Jul 17 at 9:20
Ziofil
551416
Thank you so much.
– Anthony D B
Jul 17 at 9:40
add a comment |Â
up vote
0
down vote
accepted
up vote
0
down vote
accepted
You did well.
You can also think of it like this: all of those percentages are going to be portions of the same quantity (590,568), so you can add them together first $$14.62% + 49.068% + 2% = 65.688%$$
then you take the 65.688% of 590,568 (which is 590,568*0.65688 = 387,932.3) and that's the amount that you need to add: $$590,568 + 387,932.3 = 978,500.3$$
answered Jul 17 at 9:20
Ziofil
551416
You did well.
You can also think of it like this: all of those percentages are going to be portions of the same quantity (590,568), so you can add them together first $$14.62% + 49.068% + 2% = 65.688%$$
then you take the 65.688% of 590,568 (which is 590,568*0.65688 = 387,932.3) and that's the amount that you need to add: $$590,568 + 387,932.3 = 978,500.3$$
answered Jul 17 at 9:20
Ziofil
551416
answered Jul 17 at 9:20
Ziofil
551416
answered Jul 17 at 9:20
Ziofil
551416
answered Jul 17 at 9:20
Ziofil
551416
551416
Thank you so much.
– Anthony D B
Jul 17 at 9:40
add a comment |Â
Thank you so much.
– Anthony D B
Jul 17 at 9:40
Thank you so much.
– Anthony D B
Jul 17 at 9:40
Thank you so much.
– Anthony D B
Jul 17 at 9:40
add a comment |Â
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2
Welcome to MSE. For some basic information about writing mathematics at this site see, e.g., basic help on mathjax notation, mathjax tutorial and quick reference, main meta site math tutorial and equation editing how-to.
– José Carlos Santos
Jul 17 at 8:34
Please state the precise problem statement. "Adding multiple percentages" is an ambiguous formulation.
– Christoph
Jul 17 at 8:37
Thank you Jośe. Apologies Christoph does the example not help?
– Anthony D B
Jul 17 at 8:39
1
The question you are asking is precisely the ambiguity in the phrase "adding multiple percentages". So no, it doesn't help.
– Christoph
Jul 17 at 8:44
I think Christoph's point is that unless we see the original questions we cannot tell what was intended. "Adding multiple percentages" could mean add them consecutively to the same base (as you have done in the example) or it could mean compounding the percentages. Without seeing the wording of the original question, we cannot tell.
– gandalf61
Jul 17 at 8:45