Question

111 is 15% of what number

Answer 1

740

Explanation:

If we substitute "what number" in the question "111 is 15 percent of what number?" with 740, we get this sentence: 111 is 15 percent of 740. Since this statement is true, we know that our answer is correct.

Following shows the steps on how to derive this formula

Step 1: If 15% of a number is 111, then what is 100% of that number? Setup the equation.

111 Y

------ = -------

15 100%

Step 2: Solve for Y

Using cross multiplication of two fractions, we get

15Y = 111 x 100

15Y = 11100

Y = 11100

100 = 740

Formula = Number x 100 111 x 100

--------------------- = ------------ = 740

Percent 15

Hope this helps

Answer 2

16.65

Explanation:

15 percent of 111 is the same as 15 per hundred of 111. We can therefore make the following equation:

15/100 = X/111

To solve the equation above for X, you first switch the sides to get the X on the left side, then you multiply each side by 111, and then finally divide the numerator by the denominator on the right side to get the answer. Here is the work to illustrate:

15/100 = X/111

X/111 = 15/100

X*111/111 = 15*111/100

X = 1665/100

X = 16.65

or

The work above shows the long way to explain how to calculate 15 percent of 111 in order to give you a foundation and better understanding of how to calculate percentage. In the future, you could use this simplified formula:

(Y * P)/100

In our problem "What is 15 percent of 111?", Y is 111 and P is 15:

(111 * 15)/100 = 16.65

And once again you see that the answer is 16.65.