32.74 is what percent of 106.26 - 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 106.26 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 106.26, so we can write it down as 100%=106.26.
4. We know, that x% equals 32.74 of the output value, so we can write it down as x%=32.74.
5. Now we have two simple equations:
1) 100%=106.26
2) x%=32.74
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%=106.26/32.74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 32.74 is what percent of 106.26

100%/x%=106.26/32.74
(100/x)*x=(106.26/32.74)*x       - we multiply both sides of the equation by x
100=3.2455711667685*x       - we divide both sides of the equation by (3.2455711667685) to get x
100/3.2455711667685=x
30.81121776774=x
x=30.81121776774

now we have:
32.74 is 30.81121776774% of 106.26