477.5 is what percent of 590 - 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 590 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 590, so we can write it down as 100%=590.
4. We know, that x% equals 477.5 of the output value, so we can write it down as x%=477.5.
5. Now we have two simple equations:
1) 100%=590
2) x%=477.5
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%=590/477.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 477.5 is what percent of 590

100%/x%=590/477.5
(100/x)*x=(590/477.5)*x       - we multiply both sides of the equation by x
100=1.2356020942408*x       - we divide both sides of the equation by (1.2356020942408) to get x
100/1.2356020942408=x
80.932203389831=x
x=80.932203389831

now we have:
477.5 is 80.932203389831% of 590