27.05 is what percent of 31.57 - 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 31.57 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 31.57, so we can write it down as 100%=31.57.
4. We know, that x% equals 27.05 of the output value, so we can write it down as x%=27.05.
5. Now we have two simple equations:
1) 100%=31.57
2) x%=27.05
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%=31.57/27.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 27.05 is what percent of 31.57

100%/x%=31.57/27.05
(100/x)*x=(31.57/27.05)*x       - we multiply both sides of the equation by x
100=1.1670979667283*x       - we divide both sides of the equation by (1.1670979667283) to get x
100/1.1670979667283=x
85.682610072854=x
x=85.682610072854

now we have:
27.05 is 85.682610072854% of 31.57