590.25 is what percent of 720 - 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 720 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 720, so we can write it down as 100%=720.
4. We know, that x% equals 590.25 of the output value, so we can write it down as x%=590.25.
5. Now we have two simple equations:
1) 100%=720
2) x%=590.25
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%=720/590.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 590.25 is what percent of 720

100%/x%=720/590.25
(100/x)*x=(720/590.25)*x       - we multiply both sides of the equation by x
100=1.2198221092757*x       - we divide both sides of the equation by (1.2198221092757) to get x
100/1.2198221092757=x
81.979166666667=x
x=81.979166666667

now we have:
590.25 is 81.979166666667% of 720