24.91 is what percent of 15.7 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 15.7 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 15.7, so we can write it down as 100%=15.7.
4. We know, that x% equals 24.91 of the output value, so we can write it down as x%=24.91.
5. Now we have two simple equations:
1) 100%=15.7
2) x%=24.91
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=15.7/24.91
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 24.91 is what percent of 15.7

100%/x%=15.7/24.91
(100/x)*x=(15.7/24.91)*x       - we multiply both sides of the equation by x
100=0.63026896828583*x       - we divide both sides of the equation by (0.63026896828583) to get x
100/0.63026896828583=x
158.66242038217=x
x=158.66242038217

now we have:
24.91 is 158.66242038217% of 15.7