27.15 is what percent of 32.5 - 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 32.5 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 32.5, so we can write it down as 100%=32.5.
4. We know, that x% equals 27.15 of the output value, so we can write it down as x%=27.15.
5. Now we have two simple equations:
1) 100%=32.5
2) x%=27.15
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%=32.5/27.15
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 27.15 is what percent of 32.5

100%/x%=32.5/27.15
(100/x)*x=(32.5/27.15)*x       - we multiply both sides of the equation by x
100=1.1970534069982*x       - we divide both sides of the equation by (1.1970534069982) to get x
100/1.1970534069982=x
83.538461538462=x
x=83.538461538462

now we have:
27.15 is 83.538461538462% of 32.5