601.25 is what percent of 648.75 - 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 648.75 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 648.75, so we can write it down as 100%=648.75.
4. We know, that x% equals 601.25 of the output value, so we can write it down as x%=601.25.
5. Now we have two simple equations:
1) 100%=648.75
2) x%=601.25
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%=648.75/601.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 601.25 is what percent of 648.75

100%/x%=648.75/601.25
(100/x)*x=(648.75/601.25)*x       - we multiply both sides of the equation by x
100=1.0790020790021*x       - we divide both sides of the equation by (1.0790020790021) to get x
100/1.0790020790021=x
92.678227360308=x
x=92.678227360308

now we have:
601.25 is 92.678227360308% of 648.75