16.38 is what percent of 191.6 - 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 191.6 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 191.6, so we can write it down as 100%=191.6.
4. We know, that x% equals 16.38 of the output value, so we can write it down as x%=16.38.
5. Now we have two simple equations:
1) 100%=191.6
2) x%=16.38
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%=191.6/16.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.38 is what percent of 191.6

100%/x%=191.6/16.38
(100/x)*x=(191.6/16.38)*x       - we multiply both sides of the equation by x
100=11.697191697192*x       - we divide both sides of the equation by (11.697191697192) to get x
100/11.697191697192=x
8.5490605427975=x
x=8.5490605427975

now we have:
16.38 is 8.5490605427975% of 191.6