776.25 is what percent of 8.74 - 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 8.74 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 8.74, so we can write it down as 100%=8.74.
4. We know, that x% equals 776.25 of the output value, so we can write it down as x%=776.25.
5. Now we have two simple equations:
1) 100%=8.74
2) x%=776.25
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%=8.74/776.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 776.25 is what percent of 8.74

100%/x%=8.74/776.25
(100/x)*x=(8.74/776.25)*x       - we multiply both sides of the equation by x
100=0.011259259259259*x       - we divide both sides of the equation by (0.011259259259259) to get x
100/0.011259259259259=x
8881.5789473684=x
x=8881.5789473684

now we have:
776.25 is 8881.5789473684% of 8.74