32.93 is what percent of 1107.5 - 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 1107.5 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 1107.5, so we can write it down as 100%=1107.5.
4. We know, that x% equals 32.93 of the output value, so we can write it down as x%=32.93.
5. Now we have two simple equations:
1) 100%=1107.5
2) x%=32.93
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%=1107.5/32.93
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 32.93 is what percent of 1107.5

100%/x%=1107.5/32.93
(100/x)*x=(1107.5/32.93)*x       - we multiply both sides of the equation by x
100=33.631946553295*x       - we divide both sides of the equation by (33.631946553295) to get x
100/33.631946553295=x
2.9733634311512=x
x=2.9733634311512

now we have:
32.93 is 2.9733634311512% of 1107.5