11.94 is what percent of 192.5 - 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 192.5 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 192.5, so we can write it down as 100%=192.5.
4. We know, that x% equals 11.94 of the output value, so we can write it down as x%=11.94.
5. Now we have two simple equations:
1) 100%=192.5
2) x%=11.94
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%=192.5/11.94
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.94 is what percent of 192.5

100%/x%=192.5/11.94
(100/x)*x=(192.5/11.94)*x       - we multiply both sides of the equation by x
100=16.122278056951*x       - we divide both sides of the equation by (16.122278056951) to get x
100/16.122278056951=x
6.2025974025974=x
x=6.2025974025974

now we have:
11.94 is 6.2025974025974% of 192.5