27.33 is what percent of 32.41 - 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 32.41 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 32.41, so we can write it down as 100%=32.41.
4. We know, that x% equals 27.33 of the output value, so we can write it down as x%=27.33.
5. Now we have two simple equations:
1) 100%=32.41
2) x%=27.33
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%=32.41/27.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 27.33 is what percent of 32.41

100%/x%=32.41/27.33
(100/x)*x=(32.41/27.33)*x       - we multiply both sides of the equation by x
100=1.1858763263813*x       - we divide both sides of the equation by (1.1858763263813) to get x
100/1.1858763263813=x
84.325825362542=x
x=84.325825362542

now we have:
27.33 is 84.325825362542% of 32.41