582.75 is what percent of 790 - 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 790 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 790, so we can write it down as 100%=790.
4. We know, that x% equals 582.75 of the output value, so we can write it down as x%=582.75.
5. Now we have two simple equations:
1) 100%=790
2) x%=582.75
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%=790/582.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 582.75 is what percent of 790

100%/x%=790/582.75
(100/x)*x=(790/582.75)*x       - we multiply both sides of the equation by x
100=1.3556413556414*x       - we divide both sides of the equation by (1.3556413556414) to get x
100/1.3556413556414=x
73.76582278481=x
x=73.76582278481

now we have:
582.75 is 73.76582278481% of 790