109.75 is what percent of 133 - 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 133 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 133, so we can write it down as 100%=133.
4. We know, that x% equals 109.75 of the output value, so we can write it down as x%=109.75.
5. Now we have two simple equations:
1) 100%=133
2) x%=109.75
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%=133/109.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 109.75 is what percent of 133

100%/x%=133/109.75
(100/x)*x=(133/109.75)*x       - we multiply both sides of the equation by x
100=1.2118451025057*x       - we divide both sides of the equation by (1.2118451025057) to get x
100/1.2118451025057=x
82.518796992481=x
x=82.518796992481

now we have:
109.75 is 82.518796992481% of 133