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43 votes
If m is 625% of n then n is what percent of m?

User Barq
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2 Answers

15 votes
15 votes

Final answer:

If m is 625% of n, then to find n as a percentage of m, we divide m by 6.25 and multiply by 100, which results in n being 16% of m.

Step-by-step explanation:

If m is 625% of n, we can express this relationship by saying m = 6.25 * n. To find n as a percentage of m, we need to manipulate this equation to solve for n in terms of m. We divide both sides by 6.25, obtaining n = m/6.25. To get this in percentage form, we need to multiply by 100. So, n is (1/6.25)*100% of m, which simplifies to 16%.

This means n is 16% of m.

User Jason Brady
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2.9k points
21 votes
21 votes

Final answer:

To find the percent, n, when m is 625% of n, we can use the equation n = m/6.25. The percent, n%, is equal to (1/6.25)*100, which simplifies to 16%.

Step-by-step explanation:

To find the percent, we can set up the equation:

n = (100*m)/625

Simplifying the equation, we can rewrite it as:

n = m/6.25

So, n is equal to m divided by 6.25. To find the percent, we can multiply n by 100:

n% = (n/m)*100

Substituting the value of n, we get:

n% = ((m/6.25)/m)*100

Simplifying the equation, n% equals 1/6.25 multiplied by 100:

n% = (1/6.25)*100

n% = 16

User Laserallan
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3.2k points