408.75 is what percent of 7766.25 - 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 7766.25 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 7766.25, so we can write it down as 100%=7766.25.
4. We know, that x% equals 408.75 of the output value, so we can write it down as x%=408.75.
5. Now we have two simple equations:
1) 100%=7766.25
2) x%=408.75
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%=7766.25/408.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 408.75 is what percent of 7766.25

100%/x%=7766.25/408.75
(100/x)*x=(7766.25/408.75)*x       - we multiply both sides of the equation by x
100=19*x       - we divide both sides of the equation by (19) to get x
100/19=x
5.2631578947368=x
x=5.2631578947368

now we have:
408.75 is 5.2631578947368% of 7766.25