90.58 is what percent of 569.59 - 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 569.59 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 569.59, so we can write it down as 100%=569.59.
4. We know, that x% equals 90.58 of the output value, so we can write it down as x%=90.58.
5. Now we have two simple equations:
1) 100%=569.59
2) x%=90.58
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%=569.59/90.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 90.58 is what percent of 569.59

100%/x%=569.59/90.58
(100/x)*x=(569.59/90.58)*x       - we multiply both sides of the equation by x
100=6.2882534775889*x       - we divide both sides of the equation by (6.2882534775889) to get x
100/6.2882534775889=x
15.902666830527=x
x=15.902666830527

now we have:
90.58 is 15.902666830527% of 569.59