31.14 is what percent of 27.41 - 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 27.41 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 27.41, so we can write it down as 100%=27.41.
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%=27.41
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%=27.41/31.14
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 27.41

100%/x%=27.41/31.14
(100/x)*x=(27.41/31.14)*x       - we multiply both sides of the equation by x
100=0.88021836865767*x       - we divide both sides of the equation by (0.88021836865767) to get x
100/0.88021836865767=x
113.60817219993=x
x=113.60817219993

now we have:
31.14 is 113.60817219993% of 27.41