66.97 is what percent of 84.75 - 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 84.75 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 84.75, so we can write it down as 100%=84.75.
4. We know, that x% equals 66.97 of the output value, so we can write it down as x%=66.97.
5. Now we have two simple equations:
1) 100%=84.75
2) x%=66.97
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%=84.75/66.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 66.97 is what percent of 84.75

100%/x%=84.75/66.97
(100/x)*x=(84.75/66.97)*x       - we multiply both sides of the equation by x
100=1.2654920113484*x       - we divide both sides of the equation by (1.2654920113484) to get x
100/1.2654920113484=x
79.020648967552=x
x=79.020648967552

now we have:
66.97 is 79.020648967552% of 84.75