2525.39 is what percent of 3725.8 - 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 3725.8 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 3725.8, so we can write it down as 100%=3725.8.
4. We know, that x% equals 2525.39 of the output value, so we can write it down as x%=2525.39.
5. Now we have two simple equations:
1) 100%=3725.8
2) x%=2525.39
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%=3725.8/2525.39
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2525.39 is what percent of 3725.8

100%/x%=3725.8/2525.39
(100/x)*x=(3725.8/2525.39)*x       - we multiply both sides of the equation by x
100=1.4753364826819*x       - we divide both sides of the equation by (1.4753364826819) to get x
100/1.4753364826819=x
67.781147672983=x
x=67.781147672983

now we have:
2525.39 is 67.781147672983% of 3725.8