16.2 is what percent of 11.9 - 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 11.9 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 11.9, so we can write it down as 100%=11.9.
4. We know, that x% equals 16.2 of the output value, so we can write it down as x%=16.2.
5. Now we have two simple equations:
1) 100%=11.9
2) x%=16.2
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%=11.9/16.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.2 is what percent of 11.9

100%/x%=11.9/16.2
(100/x)*x=(11.9/16.2)*x       - we multiply both sides of the equation by x
100=0.73456790123457*x       - we divide both sides of the equation by (0.73456790123457) to get x
100/0.73456790123457=x
136.13445378151=x
x=136.13445378151

now we have:
16.2 is 136.13445378151% of 11.9