989.61 is what percent of 1198 - 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 1198 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 1198, so we can write it down as 100%=1198.
4. We know, that x% equals 989.61 of the output value, so we can write it down as x%=989.61.
5. Now we have two simple equations:
1) 100%=1198
2) x%=989.61
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%=1198/989.61
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 989.61 is what percent of 1198

100%/x%=1198/989.61
(100/x)*x=(1198/989.61)*x       - we multiply both sides of the equation by x
100=1.210577904427*x       - we divide both sides of the equation by (1.210577904427) to get x
100/1.210577904427=x
82.605175292154=x
x=82.605175292154

now we have:
989.61 is 82.605175292154% of 1198