583.2 is what percent of 7290 - 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 7290 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 7290, so we can write it down as 100%=7290.
4. We know, that x% equals 583.2 of the output value, so we can write it down as x%=583.2.
5. Now we have two simple equations:
1) 100%=7290
2) x%=583.2
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%=7290/583.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 583.2 is what percent of 7290

100%/x%=7290/583.2
(100/x)*x=(7290/583.2)*x       - we multiply both sides of the equation by x
100=12.5*x       - we divide both sides of the equation by (12.5) to get x
100/12.5=x
8=x
x=8

now we have:
583.2 is 8% of 7290