99.9 is what percent of 8760 - 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 8760 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 8760, so we can write it down as 100%=8760.
4. We know, that x% equals 99.9 of the output value, so we can write it down as x%=99.9.
5. Now we have two simple equations:
1) 100%=8760
2) x%=99.9
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%=8760/99.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 99.9 is what percent of 8760

100%/x%=8760/99.9
(100/x)*x=(8760/99.9)*x       - we multiply both sides of the equation by x
100=87.687687687688*x       - we divide both sides of the equation by (87.687687687688) to get x
100/87.687687687688=x
1.1404109589041=x
x=1.1404109589041

now we have:
99.9 is 1.1404109589041% of 8760