352.1 is what percent of 536.24 - 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 536.24 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 536.24, so we can write it down as 100%=536.24.
4. We know, that x% equals 352.1 of the output value, so we can write it down as x%=352.1.
5. Now we have two simple equations:
1) 100%=536.24
2) x%=352.1
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%=536.24/352.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 352.1 is what percent of 536.24

100%/x%=536.24/352.1
(100/x)*x=(536.24/352.1)*x       - we multiply both sides of the equation by x
100=1.5229764271514*x       - we divide both sides of the equation by (1.5229764271514) to get x
100/1.5229764271514=x
65.660898105326=x
x=65.660898105326

now we have:
352.1 is 65.660898105326% of 536.24