37.25 is what percent of 313 - 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 313 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 313, so we can write it down as 100%=313.
4. We know, that x% equals 37.25 of the output value, so we can write it down as x%=37.25.
5. Now we have two simple equations:
1) 100%=313
2) x%=37.25
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%=313/37.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 37.25 is what percent of 313

100%/x%=313/37.25
(100/x)*x=(313/37.25)*x       - we multiply both sides of the equation by x
100=8.4026845637584*x       - we divide both sides of the equation by (8.4026845637584) to get x
100/8.4026845637584=x
11.900958466454=x
x=11.900958466454

now we have:
37.25 is 11.900958466454% of 313