318.75 is what percent of 768.75 - 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 768.75 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 768.75, so we can write it down as 100%=768.75.
4. We know, that x% equals 318.75 of the output value, so we can write it down as x%=318.75.
5. Now we have two simple equations:
1) 100%=768.75
2) x%=318.75
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%=768.75/318.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 318.75 is what percent of 768.75

100%/x%=768.75/318.75
(100/x)*x=(768.75/318.75)*x       - we multiply both sides of the equation by x
100=2.4117647058824*x       - we divide both sides of the equation by (2.4117647058824) to get x
100/2.4117647058824=x
41.463414634146=x
x=41.463414634146

now we have:
318.75 is 41.463414634146% of 768.75