78 is what percent of 878 - 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 878 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 878, so we can write it down as 100%=878.
4. We know, that x% equals 78 of the output value, so we can write it down as x%=78.
5. Now we have two simple equations:
1) 100%=878
2) x%=78
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%=878/78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 78 is what percent of 878

100%/x%=878/78
(100/x)*x=(878/78)*x       - we multiply both sides of the equation by x
100=11.25641025641*x       - we divide both sides of the equation by (11.25641025641) to get x
100/11.25641025641=x
8.8838268792711=x
x=8.8838268792711

now we have:
78 is 8.8838268792711% of 878