403.7 is what percent of 1325 - 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 1325 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 1325, so we can write it down as 100%=1325.
4. We know, that x% equals 403.7 of the output value, so we can write it down as x%=403.7.
5. Now we have two simple equations:
1) 100%=1325
2) x%=403.7
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%=1325/403.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 403.7 is what percent of 1325

100%/x%=1325/403.7
(100/x)*x=(1325/403.7)*x       - we multiply both sides of the equation by x
100=3.2821402031211*x       - we divide both sides of the equation by (3.2821402031211) to get x
100/3.2821402031211=x
30.467924528302=x
x=30.467924528302

now we have:
403.7 is 30.467924528302% of 1325