525.75 is what percent of 2125.75 - 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 2125.75 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 2125.75, so we can write it down as 100%=2125.75.
4. We know, that x% equals 525.75 of the output value, so we can write it down as x%=525.75.
5. Now we have two simple equations:
1) 100%=2125.75
2) x%=525.75
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%=2125.75/525.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 525.75 is what percent of 2125.75

100%/x%=2125.75/525.75
(100/x)*x=(2125.75/525.75)*x       - we multiply both sides of the equation by x
100=4.0432715168806*x       - we divide both sides of the equation by (4.0432715168806) to get x
100/4.0432715168806=x
24.732447371516=x
x=24.732447371516

now we have:
525.75 is 24.732447371516% of 2125.75