316.94 is what percent of 523.68 - 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 523.68 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 523.68, so we can write it down as 100%=523.68.
4. We know, that x% equals 316.94 of the output value, so we can write it down as x%=316.94.
5. Now we have two simple equations:
1) 100%=523.68
2) x%=316.94
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%=523.68/316.94
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 316.94 is what percent of 523.68

100%/x%=523.68/316.94
(100/x)*x=(523.68/316.94)*x       - we multiply both sides of the equation by x
100=1.6523001198965*x       - we divide both sides of the equation by (1.6523001198965) to get x
100/1.6523001198965=x
60.521692636725=x
x=60.521692636725

now we have:
316.94 is 60.521692636725% of 523.68