89 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 89 of the output value, so we can write it down as x%=89.
5. Now we have two simple equations:
1) 100%=1187
2) x%=89
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%=1187/89
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 89 is what percent of 1187

100%/x%=1187/89
(100/x)*x=(1187/89)*x       - we multiply both sides of the equation by x
100=13.337078651685*x       - we divide both sides of the equation by (13.337078651685) to get x
100/13.337078651685=x
7.4978938500421=x
x=7.4978938500421

now we have:
89 is 7.4978938500421% of 1187