986.89 is what percent of 1147.96 - 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 1147.96 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 1147.96, so we can write it down as 100%=1147.96.
4. We know, that x% equals 986.89 of the output value, so we can write it down as x%=986.89.
5. Now we have two simple equations:
1) 100%=1147.96
2) x%=986.89
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%=1147.96/986.89
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 986.89 is what percent of 1147.96

100%/x%=1147.96/986.89
(100/x)*x=(1147.96/986.89)*x       - we multiply both sides of the equation by x
100=1.1632096788903*x       - we divide both sides of the equation by (1.1632096788903) to get x
100/1.1632096788903=x
85.969023310917=x
x=85.969023310917

now we have:
986.89 is 85.969023310917% of 1147.96