553.32 is what percent of 1425 - 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 1425 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 1425, so we can write it down as 100%=1425.
4. We know, that x% equals 553.32 of the output value, so we can write it down as x%=553.32.
5. Now we have two simple equations:
1) 100%=1425
2) x%=553.32
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%=1425/553.32
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 553.32 is what percent of 1425

100%/x%=1425/553.32
(100/x)*x=(1425/553.32)*x       - we multiply both sides of the equation by x
100=2.5753632617653*x       - we divide both sides of the equation by (2.5753632617653) to get x
100/2.5753632617653=x
38.829473684211=x
x=38.829473684211

now we have:
553.32 is 38.829473684211% of 1425