11.95 is what percent of 144.89 - 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 144.89 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 144.89, so we can write it down as 100%=144.89.
4. We know, that x% equals 11.95 of the output value, so we can write it down as x%=11.95.
5. Now we have two simple equations:
1) 100%=144.89
2) x%=11.95
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%=144.89/11.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.95 is what percent of 144.89

100%/x%=144.89/11.95
(100/x)*x=(144.89/11.95)*x       - we multiply both sides of the equation by x
100=12.124686192469*x       - we divide both sides of the equation by (12.124686192469) to get x
100/12.124686192469=x
8.2476361377597=x
x=8.2476361377597

now we have:
11.95 is 8.2476361377597% of 144.89