32.5 is what percent of 171.43 - 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 171.43 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 171.43, so we can write it down as 100%=171.43.
4. We know, that x% equals 32.5 of the output value, so we can write it down as x%=32.5.
5. Now we have two simple equations:
1) 100%=171.43
2) x%=32.5
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%=171.43/32.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 32.5 is what percent of 171.43

100%/x%=171.43/32.5
(100/x)*x=(171.43/32.5)*x       - we multiply both sides of the equation by x
100=5.2747692307692*x       - we divide both sides of the equation by (5.2747692307692) to get x
100/5.2747692307692=x
18.958175348539=x
x=18.958175348539

now we have:
32.5 is 18.958175348539% of 171.43