33.75 is what percent of 66.15 - 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 66.15 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 66.15, so we can write it down as 100%=66.15.
4. We know, that x% equals 33.75 of the output value, so we can write it down as x%=33.75.
5. Now we have two simple equations:
1) 100%=66.15
2) x%=33.75
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%=66.15/33.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 33.75 is what percent of 66.15

100%/x%=66.15/33.75
(100/x)*x=(66.15/33.75)*x       - we multiply both sides of the equation by x
100=1.96*x       - we divide both sides of the equation by (1.96) to get x
100/1.96=x
51.020408163265=x
x=51.020408163265

now we have:
33.75 is 51.020408163265% of 66.15