79.94 is what percent of 319.63 - 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 319.63 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 319.63, so we can write it down as 100%=319.63.
4. We know, that x% equals 79.94 of the output value, so we can write it down as x%=79.94.
5. Now we have two simple equations:
1) 100%=319.63
2) x%=79.94
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%=319.63/79.94
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 79.94 is what percent of 319.63

100%/x%=319.63/79.94
(100/x)*x=(319.63/79.94)*x       - we multiply both sides of the equation by x
100=3.9983737803353*x       - we divide both sides of the equation by (3.9983737803353) to get x
100/3.9983737803353=x
25.010168006758=x
x=25.010168006758

now we have:
79.94 is 25.010168006758% of 319.63