528.8 is what percent of 1125.8 - 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 1125.8 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 1125.8, so we can write it down as 100%=1125.8.
4. We know, that x% equals 528.8 of the output value, so we can write it down as x%=528.8.
5. Now we have two simple equations:
1) 100%=1125.8
2) x%=528.8
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%=1125.8/528.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 528.8 is what percent of 1125.8

100%/x%=1125.8/528.8
(100/x)*x=(1125.8/528.8)*x       - we multiply both sides of the equation by x
100=2.1289712556732*x       - we divide both sides of the equation by (2.1289712556732) to get x
100/2.1289712556732=x
46.971042813999=x
x=46.971042813999

now we have:
528.8 is 46.971042813999% of 1125.8