66.75 is what percent of 3337.12 - 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 3337.12 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 3337.12, so we can write it down as 100%=3337.12.
4. We know, that x% equals 66.75 of the output value, so we can write it down as x%=66.75.
5. Now we have two simple equations:
1) 100%=3337.12
2) x%=66.75
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%=3337.12/66.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 66.75 is what percent of 3337.12

100%/x%=3337.12/66.75
(100/x)*x=(3337.12/66.75)*x       - we multiply both sides of the equation by x
100=49.994307116105*x       - we divide both sides of the equation by (49.994307116105) to get x
100/49.994307116105=x
2.0002277412859=x
x=2.0002277412859

now we have:
66.75 is 2.0002277412859% of 3337.12