786.9 is what percent of 879 - 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 879 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 879, so we can write it down as 100%=879.
4. We know, that x% equals 786.9 of the output value, so we can write it down as x%=786.9.
5. Now we have two simple equations:
1) 100%=879
2) x%=786.9
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%=879/786.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 786.9 is what percent of 879

100%/x%=879/786.9
(100/x)*x=(879/786.9)*x       - we multiply both sides of the equation by x
100=1.1170415554708*x       - we divide both sides of the equation by (1.1170415554708) to get x
100/1.1170415554708=x
89.522184300341=x
x=89.522184300341

now we have:
786.9 is 89.522184300341% of 879