93.79 is what percent of 640 - 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 640 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 640, so we can write it down as 100%=640.
4. We know, that x% equals 93.79 of the output value, so we can write it down as x%=93.79.
5. Now we have two simple equations:
1) 100%=640
2) x%=93.79
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%=640/93.79
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 93.79 is what percent of 640

100%/x%=640/93.79
(100/x)*x=(640/93.79)*x       - we multiply both sides of the equation by x
100=6.8237551977823*x       - we divide both sides of the equation by (6.8237551977823) to get x
100/6.8237551977823=x
14.6546875=x
x=14.6546875

now we have:
93.79 is 14.6546875% of 640