612.49 is what percent of 825 - 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 825 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 825, so we can write it down as 100%=825.
4. We know, that x% equals 612.49 of the output value, so we can write it down as x%=612.49.
5. Now we have two simple equations:
1) 100%=825
2) x%=612.49
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%=825/612.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 612.49 is what percent of 825

100%/x%=825/612.49
(100/x)*x=(825/612.49)*x       - we multiply both sides of the equation by x
100=1.3469607667064*x       - we divide both sides of the equation by (1.3469607667064) to get x
100/1.3469607667064=x
74.241212121212=x
x=74.241212121212

now we have:
612.49 is 74.241212121212% of 825