31.14 is what percent of 36.11 - 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 36.11 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 36.11, so we can write it down as 100%=36.11.
4. We know, that x% equals 31.14 of the output value, so we can write it down as x%=31.14.
5. Now we have two simple equations:
1) 100%=36.11
2) x%=31.14
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%=36.11/31.14
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 31.14 is what percent of 36.11

100%/x%=36.11/31.14
(100/x)*x=(36.11/31.14)*x       - we multiply both sides of the equation by x
100=1.1596017983301*x       - we divide both sides of the equation by (1.1596017983301) to get x
100/1.1596017983301=x
86.236499584603=x
x=86.236499584603

now we have:
31.14 is 86.236499584603% of 36.11