11.93 is what percent of 16.18 - 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 16.18 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 16.18, so we can write it down as 100%=16.18.
4. We know, that x% equals 11.93 of the output value, so we can write it down as x%=11.93.
5. Now we have two simple equations:
1) 100%=16.18
2) x%=11.93
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%=16.18/11.93
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.93 is what percent of 16.18

100%/x%=16.18/11.93
(100/x)*x=(16.18/11.93)*x       - we multiply both sides of the equation by x
100=1.3562447611065*x       - we divide both sides of the equation by (1.3562447611065) to get x
100/1.3562447611065=x
73.733003708282=x
x=73.733003708282

now we have:
11.93 is 73.733003708282% of 16.18