731.25 is what percent of 608.4 - 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 608.4 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 608.4, so we can write it down as 100%=608.4.
4. We know, that x% equals 731.25 of the output value, so we can write it down as x%=731.25.
5. Now we have two simple equations:
1) 100%=608.4
2) x%=731.25
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%=608.4/731.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 731.25 is what percent of 608.4

100%/x%=608.4/731.25
(100/x)*x=(608.4/731.25)*x       - we multiply both sides of the equation by x
100=0.832*x       - we divide both sides of the equation by (0.832) to get x
100/0.832=x
120.19230769231=x
x=120.19230769231

now we have:
731.25 is 120.19230769231% of 608.4