17.29 is what percent of 110 - 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 110 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 110, so we can write it down as 100%=110.
4. We know, that x% equals 17.29 of the output value, so we can write it down as x%=17.29.
5. Now we have two simple equations:
1) 100%=110
2) x%=17.29
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%=110/17.29
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 17.29 is what percent of 110

100%/x%=110/17.29
(100/x)*x=(110/17.29)*x       - we multiply both sides of the equation by x
100=6.3620589936379*x       - we divide both sides of the equation by (6.3620589936379) to get x
100/6.3620589936379=x
15.718181818182=x
x=15.718181818182

now we have:
17.29 is 15.718181818182% of 110