16.94 is what percent of 102.98 - 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 102.98 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 102.98, so we can write it down as 100%=102.98.
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%=102.98
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%=102.98/16.94
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 102.98

100%/x%=102.98/16.94
(100/x)*x=(102.98/16.94)*x       - we multiply both sides of the equation by x
100=6.0791027154664*x       - we divide both sides of the equation by (6.0791027154664) to get x
100/6.0791027154664=x
16.449796076908=x
x=16.449796076908

now we have:
16.94 is 16.449796076908% of 102.98