27.43 is what percent of 32.57 - 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 32.57 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 32.57, so we can write it down as 100%=32.57.
4. We know, that x% equals 27.43 of the output value, so we can write it down as x%=27.43.
5. Now we have two simple equations:
1) 100%=32.57
2) x%=27.43
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%=32.57/27.43
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 27.43 is what percent of 32.57

100%/x%=32.57/27.43
(100/x)*x=(32.57/27.43)*x       - we multiply both sides of the equation by x
100=1.187386073642*x       - we divide both sides of the equation by (1.187386073642) to get x
100/1.187386073642=x
84.218606079214=x
x=84.218606079214

now we have:
27.43 is 84.218606079214% of 32.57