66.93 is what percent of 320.39 - 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 320.39 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 320.39, so we can write it down as 100%=320.39.
4. We know, that x% equals 66.93 of the output value, so we can write it down as x%=66.93.
5. Now we have two simple equations:
1) 100%=320.39
2) x%=66.93
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%=320.39/66.93
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 66.93 is what percent of 320.39

100%/x%=320.39/66.93
(100/x)*x=(320.39/66.93)*x       - we multiply both sides of the equation by x
100=4.786941580756*x       - we divide both sides of the equation by (4.786941580756) to get x
100/4.786941580756=x
20.890165111271=x
x=20.890165111271

now we have:
66.93 is 20.890165111271% of 320.39