375.48 is what percent of 558.75 - 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 558.75 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 558.75, so we can write it down as 100%=558.75.
4. We know, that x% equals 375.48 of the output value, so we can write it down as x%=375.48.
5. Now we have two simple equations:
1) 100%=558.75
2) x%=375.48
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%=558.75/375.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 375.48 is what percent of 558.75

100%/x%=558.75/375.48
(100/x)*x=(558.75/375.48)*x       - we multiply both sides of the equation by x
100=1.4880952380952*x       - we divide both sides of the equation by (1.4880952380952) to get x
100/1.4880952380952=x
67.2=x
x=67.2

now we have:
375.48 is 67.2% of 558.75