372.52 is what percent of 422.52 - 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 422.52 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 422.52, so we can write it down as 100%=422.52.
4. We know, that x% equals 372.52 of the output value, so we can write it down as x%=372.52.
5. Now we have two simple equations:
1) 100%=422.52
2) x%=372.52
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%=422.52/372.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 372.52 is what percent of 422.52

100%/x%=422.52/372.52
(100/x)*x=(422.52/372.52)*x       - we multiply both sides of the equation by x
100=1.1342209814238*x       - we divide both sides of the equation by (1.1342209814238) to get x
100/1.1342209814238=x
88.16624065133=x
x=88.16624065133

now we have:
372.52 is 88.16624065133% of 422.52