318.29 is what percent of 463.95 - 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 463.95 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 463.95, so we can write it down as 100%=463.95.
4. We know, that x% equals 318.29 of the output value, so we can write it down as x%=318.29.
5. Now we have two simple equations:
1) 100%=463.95
2) x%=318.29
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%=463.95/318.29
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 318.29 is what percent of 463.95

100%/x%=463.95/318.29
(100/x)*x=(463.95/318.29)*x       - we multiply both sides of the equation by x
100=1.4576329762167*x       - we divide both sides of the equation by (1.4576329762167) to get x
100/1.4576329762167=x
68.604375471495=x
x=68.604375471495

now we have:
318.29 is 68.604375471495% of 463.95