32.77 is what percent of 33.75 - 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 33.75 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 33.75, so we can write it down as 100%=33.75.
4. We know, that x% equals 32.77 of the output value, so we can write it down as x%=32.77.
5. Now we have two simple equations:
1) 100%=33.75
2) x%=32.77
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%=33.75/32.77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 32.77 is what percent of 33.75

100%/x%=33.75/32.77
(100/x)*x=(33.75/32.77)*x       - we multiply both sides of the equation by x
100=1.0299054012817*x       - we divide both sides of the equation by (1.0299054012817) to get x
100/1.0299054012817=x
97.096296296296=x
x=97.096296296296

now we have:
32.77 is 97.096296296296% of 33.75