879 is what percent of 9 - 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 9 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 9, so we can write it down as 100%=9.
4. We know, that x% equals 879 of the output value, so we can write it down as x%=879.
5. Now we have two simple equations:
1) 100%=9
2) x%=879
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%=9/879
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 879 is what percent of 9

100%/x%=9/879
(100/x)*x=(9/879)*x       - we multiply both sides of the equation by x
100=0.010238907849829*x       - we divide both sides of the equation by (0.010238907849829) to get x
100/0.010238907849829=x
9766.6666666667=x
x=9766.6666666667

now we have:
879 is 9766.6666666667% of 9