66.12 is what percent of 98.16 - 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 98.16 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 98.16, so we can write it down as 100%=98.16.
4. We know, that x% equals 66.12 of the output value, so we can write it down as x%=66.12.
5. Now we have two simple equations:
1) 100%=98.16
2) x%=66.12
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%=98.16/66.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 66.12 is what percent of 98.16

100%/x%=98.16/66.12
(100/x)*x=(98.16/66.12)*x       - we multiply both sides of the equation by x
100=1.4845735027223*x       - we divide both sides of the equation by (1.4845735027223) to get x
100/1.4845735027223=x
67.359413202934=x
x=67.359413202934

now we have:
66.12 is 67.359413202934% of 98.16