294.58 is what percent of 315.2 - 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 315.2 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 315.2, so we can write it down as 100%=315.2.
4. We know, that x% equals 294.58 of the output value, so we can write it down as x%=294.58.
5. Now we have two simple equations:
1) 100%=315.2
2) x%=294.58
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%=315.2/294.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 294.58 is what percent of 315.2

100%/x%=315.2/294.58
(100/x)*x=(315.2/294.58)*x       - we multiply both sides of the equation by x
100=1.0699979632018*x       - we divide both sides of the equation by (1.0699979632018) to get x
100/1.0699979632018=x
93.458121827411=x
x=93.458121827411

now we have:
294.58 is 93.458121827411% of 315.2