38705.52 is what percent of 119410.24 - 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 119410.24 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 119410.24, so we can write it down as 100%=119410.24.
4. We know, that x% equals 38705.52 of the output value, so we can write it down as x%=38705.52.
5. Now we have two simple equations:
1) 100%=119410.24
2) x%=38705.52
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%=119410.24/38705.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 38705.52 is what percent of 119410.24

100%/x%=119410.24/38705.52
(100/x)*x=(119410.24/38705.52)*x       - we multiply both sides of the equation by x
100=3.0850958726301*x       - we divide both sides of the equation by (3.0850958726301) to get x
100/3.0850958726301=x
32.413903531221=x
x=32.413903531221

now we have:
38705.52 is 32.413903531221% of 119410.24