32.75 is what percent of 1161.66 - 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 1161.66 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 1161.66, so we can write it down as 100%=1161.66.
4. We know, that x% equals 32.75 of the output value, so we can write it down as x%=32.75.
5. Now we have two simple equations:
1) 100%=1161.66
2) x%=32.75
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%=1161.66/32.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 32.75 is what percent of 1161.66

100%/x%=1161.66/32.75
(100/x)*x=(1161.66/32.75)*x       - we multiply both sides of the equation by x
100=35.470534351145*x       - we divide both sides of the equation by (35.470534351145) to get x
100/35.470534351145=x
2.8192414303669=x
x=2.8192414303669

now we have:
32.75 is 2.8192414303669% of 1161.66