99.5 is what percent of 1187 - 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 1187 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 1187, so we can write it down as 100%=1187.
4. We know, that x% equals 99.5 of the output value, so we can write it down as x%=99.5.
5. Now we have two simple equations:
1) 100%=1187
2) x%=99.5
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%=1187/99.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 99.5 is what percent of 1187

100%/x%=1187/99.5
(100/x)*x=(1187/99.5)*x       - we multiply both sides of the equation by x
100=11.929648241206*x       - we divide both sides of the equation by (11.929648241206) to get x
100/11.929648241206=x
8.3824768323505=x
x=8.3824768323505

now we have:
99.5 is 8.3824768323505% of 1187