66.83 is what percent of 42.15 - 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 42.15 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 42.15, so we can write it down as 100%=42.15.
4. We know, that x% equals 66.83 of the output value, so we can write it down as x%=66.83.
5. Now we have two simple equations:
1) 100%=42.15
2) x%=66.83
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%=42.15/66.83
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 66.83 is what percent of 42.15

100%/x%=42.15/66.83
(100/x)*x=(42.15/66.83)*x       - we multiply both sides of the equation by x
100=0.6307047733054*x       - we divide both sides of the equation by (0.6307047733054) to get x
100/0.6307047733054=x
158.55278766311=x
x=158.55278766311

now we have:
66.83 is 158.55278766311% of 42.15