16.73 is what percent of 147.80144 - 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 147.80144 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 147.80144, so we can write it down as 100%=147.80144.
4. We know, that x% equals 16.73 of the output value, so we can write it down as x%=16.73.
5. Now we have two simple equations:
1) 100%=147.80144
2) x%=16.73
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%=147.80144/16.73
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.73 is what percent of 147.80144

100%/x%=147.80144/16.73
(100/x)*x=(147.80144/16.73)*x       - we multiply both sides of the equation by x
100=8.8345152420801*x       - we divide both sides of the equation by (8.8345152420801) to get x
100/8.8345152420801=x
11.319240191435=x
x=11.319240191435

now we have:
16.73 is 11.319240191435% of 147.80144