252.04 is what percent of 371.25 - 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 371.25 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 371.25, so we can write it down as 100%=371.25.
4. We know, that x% equals 252.04 of the output value, so we can write it down as x%=252.04.
5. Now we have two simple equations:
1) 100%=371.25
2) x%=252.04
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%=371.25/252.04
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 252.04 is what percent of 371.25

100%/x%=371.25/252.04
(100/x)*x=(371.25/252.04)*x       - we multiply both sides of the equation by x
100=1.472980479289*x       - we divide both sides of the equation by (1.472980479289) to get x
100/1.472980479289=x
67.889562289562=x
x=67.889562289562

now we have:
252.04 is 67.889562289562% of 371.25