119.96 is what percent of 299.95 - 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 299.95 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 299.95, so we can write it down as 100%=299.95.
4. We know, that x% equals 119.96 of the output value, so we can write it down as x%=119.96.
5. Now we have two simple equations:
1) 100%=299.95
2) x%=119.96
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%=299.95/119.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 119.96 is what percent of 299.95

100%/x%=299.95/119.96
(100/x)*x=(299.95/119.96)*x       - we multiply both sides of the equation by x
100=2.5004168056019*x       - we divide both sides of the equation by (2.5004168056019) to get x
100/2.5004168056019=x
39.993332222037=x
x=39.993332222037

now we have:
119.96 is 39.993332222037% of 299.95