10.15 is what percent of 32.72 - 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 32.72 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 32.72, so we can write it down as 100%=32.72.
4. We know, that x% equals 10.15 of the output value, so we can write it down as x%=10.15.
5. Now we have two simple equations:
1) 100%=32.72
2) x%=10.15
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%=32.72/10.15
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.15 is what percent of 32.72

100%/x%=32.72/10.15
(100/x)*x=(32.72/10.15)*x       - we multiply both sides of the equation by x
100=3.223645320197*x       - we divide both sides of the equation by (3.223645320197) to get x
100/3.223645320197=x
31.020782396088=x
x=31.020782396088

now we have:
10.15 is 31.020782396088% of 32.72