When you ask "15 is what percent of 31?" you are asking what share per hundred (percent) 15 is of 31 (15 is what % of 31?). To show you how to calculate the answer we start by displaying the percent formula below:
| = Part |
In the problem "15 is what percent of 31?", 15 is the Part, 31 is the Whole, and Percent is what we are solving. When we enter the Whole and the Part in our formula, we get this:
| = 15 |
To solve for Percent, we first multiply both sides by 100 to get rid of the denominator on the left side:
| = 15 × 100 |
| = 1500 |
Next, we divide both sides by 31 to get Percent by itself on the left side:
| = |
|
Percent = |
|
That's it! Above is the fractional answer to "15 is what percent of 31?". To get the decimal answer, you simply divide the numerator by the denominator. Thus, here is the final answer to "15 is what percent of 31?" in decimal percent form:
1500/31
= 48.3870967741935
≈ 48.3871%
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