16.55 is what percent of 156.55 - 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 156.55 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 156.55, so we can write it down as 100%=156.55.
4. We know, that x% equals 16.55 of the output value, so we can write it down as x%=16.55.
5. Now we have two simple equations:
1) 100%=156.55
2) x%=16.55
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%=156.55/16.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.55 is what percent of 156.55

100%/x%=156.55/16.55
(100/x)*x=(156.55/16.55)*x       - we multiply both sides of the equation by x
100=9.4592145015106*x       - we divide both sides of the equation by (9.4592145015106) to get x
100/9.4592145015106=x
10.571702331523=x
x=10.571702331523

now we have:
16.55 is 10.571702331523% of 156.55