16.8 is what percent of 140.4 - 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 140.4 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 140.4, so we can write it down as 100%=140.4.
4. We know, that x% equals 16.8 of the output value, so we can write it down as x%=16.8.
5. Now we have two simple equations:
1) 100%=140.4
2) x%=16.8
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%=140.4/16.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.8 is what percent of 140.4

100%/x%=140.4/16.8
(100/x)*x=(140.4/16.8)*x       - we multiply both sides of the equation by x
100=8.3571428571429*x       - we divide both sides of the equation by (8.3571428571429) to get x
100/8.3571428571429=x
11.965811965812=x
x=11.965811965812

now we have:
16.8 is 11.965811965812% of 140.4