32.12 is what percent of 157.12 - 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 157.12 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 157.12, so we can write it down as 100%=157.12.
4. We know, that x% equals 32.12 of the output value, so we can write it down as x%=32.12.
5. Now we have two simple equations:
1) 100%=157.12
2) x%=32.12
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%=157.12/32.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 32.12 is what percent of 157.12

100%/x%=157.12/32.12
(100/x)*x=(157.12/32.12)*x       - we multiply both sides of the equation by x
100=4.8916562889166*x       - we divide both sides of the equation by (4.8916562889166) to get x
100/4.8916562889166=x
20.442973523422=x
x=20.442973523422

now we have:
32.12 is 20.442973523422% of 157.12