133.71 is what percent of 165.75 - 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 165.75 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 165.75, so we can write it down as 100%=165.75.
4. We know, that x% equals 133.71 of the output value, so we can write it down as x%=133.71.
5. Now we have two simple equations:
1) 100%=165.75
2) x%=133.71
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%=165.75/133.71
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 133.71 is what percent of 165.75

100%/x%=165.75/133.71
(100/x)*x=(165.75/133.71)*x       - we multiply both sides of the equation by x
100=1.2396230648418*x       - we divide both sides of the equation by (1.2396230648418) to get x
100/1.2396230648418=x
80.669683257919=x
x=80.669683257919

now we have:
133.71 is 80.669683257919% of 165.75