118.9 is what percent of 600.9 - 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 600.9 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 600.9, so we can write it down as 100%=600.9.
4. We know, that x% equals 118.9 of the output value, so we can write it down as x%=118.9.
5. Now we have two simple equations:
1) 100%=600.9
2) x%=118.9
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%=600.9/118.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 118.9 is what percent of 600.9

100%/x%=600.9/118.9
(100/x)*x=(600.9/118.9)*x       - we multiply both sides of the equation by x
100=5.053826745164*x       - we divide both sides of the equation by (5.053826745164) to get x
100/5.053826745164=x
19.786986187386=x
x=19.786986187386

now we have:
118.9 is 19.786986187386% of 600.9