16.8 is what percent of 152.8 - 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 152.8 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 152.8, so we can write it down as 100%=152.8.
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%=152.8
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%=152.8/16.8
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 152.8

100%/x%=152.8/16.8
(100/x)*x=(152.8/16.8)*x       - we multiply both sides of the equation by x
100=9.0952380952381*x       - we divide both sides of the equation by (9.0952380952381) to get x
100/9.0952380952381=x
10.994764397906=x
x=10.994764397906

now we have:
16.8 is 10.994764397906% of 152.8