39.17 is what percent of 155.32 - 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 155.32 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 155.32, so we can write it down as 100%=155.32.
4. We know, that x% equals 39.17 of the output value, so we can write it down as x%=39.17.
5. Now we have two simple equations:
1) 100%=155.32
2) x%=39.17
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%=155.32/39.17
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 39.17 is what percent of 155.32

100%/x%=155.32/39.17
(100/x)*x=(155.32/39.17)*x       - we multiply both sides of the equation by x
100=3.9652795506765*x       - we divide both sides of the equation by (3.9652795506765) to get x
100/3.9652795506765=x
25.218902910121=x
x=25.218902910121

now we have:
39.17 is 25.218902910121% of 155.32