312.52 is what percent of 357.52 - 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 357.52 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 357.52, so we can write it down as 100%=357.52.
4. We know, that x% equals 312.52 of the output value, so we can write it down as x%=312.52.
5. Now we have two simple equations:
1) 100%=357.52
2) x%=312.52
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%=357.52/312.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 312.52 is what percent of 357.52

100%/x%=357.52/312.52
(100/x)*x=(357.52/312.52)*x       - we multiply both sides of the equation by x
100=1.1439907845898*x       - we divide both sides of the equation by (1.1439907845898) to get x
100/1.1439907845898=x
87.413291564108=x
x=87.413291564108

now we have:
312.52 is 87.413291564108% of 357.52