89 is what percent of 1082 - 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 1082 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 1082, so we can write it down as 100%=1082.
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%=1082
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%=1082/89
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 1082

100%/x%=1082/89
(100/x)*x=(1082/89)*x       - we multiply both sides of the equation by x
100=12.157303370787*x       - we divide both sides of the equation by (12.157303370787) to get x
100/12.157303370787=x
8.2255083179298=x
x=8.2255083179298

now we have:
89 is 8.2255083179298% of 1082