46.25 is what percent of 1525.9 - 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 1525.9 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 1525.9, so we can write it down as 100%=1525.9.
4. We know, that x% equals 46.25 of the output value, so we can write it down as x%=46.25.
5. Now we have two simple equations:
1) 100%=1525.9
2) x%=46.25
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%=1525.9/46.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 46.25 is what percent of 1525.9

100%/x%=1525.9/46.25
(100/x)*x=(1525.9/46.25)*x       - we multiply both sides of the equation by x
100=32.992432432432*x       - we divide both sides of the equation by (32.992432432432) to get x
100/32.992432432432=x
3.0309980994823=x
x=3.0309980994823

now we have:
46.25 is 3.0309980994823% of 1525.9