28.5 is what percent of 31.536 - 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 31.536 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 31.536, so we can write it down as 100%=31.536.
4. We know, that x% equals 28.5 of the output value, so we can write it down as x%=28.5.
5. Now we have two simple equations:
1) 100%=31.536
2) x%=28.5
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%=31.536/28.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 28.5 is what percent of 31.536

100%/x%=31.536/28.5
(100/x)*x=(31.536/28.5)*x       - we multiply both sides of the equation by x
100=1.1065263157895*x       - we divide both sides of the equation by (1.1065263157895) to get x
100/1.1065263157895=x
90.372907153729=x
x=90.372907153729

now we have:
28.5 is 90.372907153729% of 31.536