16.94 is what percent of 18.82 - 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 18.82 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 18.82, so we can write it down as 100%=18.82.
4. We know, that x% equals 16.94 of the output value, so we can write it down as x%=16.94.
5. Now we have two simple equations:
1) 100%=18.82
2) x%=16.94
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%=18.82/16.94
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.94 is what percent of 18.82

100%/x%=18.82/16.94
(100/x)*x=(18.82/16.94)*x       - we multiply both sides of the equation by x
100=1.1109799291617*x       - we divide both sides of the equation by (1.1109799291617) to get x
100/1.1109799291617=x
90.010626992561=x
x=90.010626992561

now we have:
16.94 is 90.010626992561% of 18.82