569.38 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 569.38 of the output value, so we can write it down as x%=569.38.
5. Now we have two simple equations:
1) 100%=590
2) x%=569.38
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%=590/569.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 569.38 is what percent of 590

100%/x%=590/569.38
(100/x)*x=(590/569.38)*x       - we multiply both sides of the equation by x
100=1.0362148301661*x       - we divide both sides of the equation by (1.0362148301661) to get x
100/1.0362148301661=x
96.505084745763=x
x=96.505084745763

now we have:
569.38 is 96.505084745763% of 590