0.17 is what percent of 17.6 - 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 17.6 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 17.6, so we can write it down as 100%=17.6.
4. We know, that x% equals 0.17 of the output value, so we can write it down as x%=0.17.
5. Now we have two simple equations:
1) 100%=17.6
2) x%=0.17
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%=17.6/0.17
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.17 is what percent of 17.6

100%/x%=17.6/0.17
(100/x)*x=(17.6/0.17)*x       - we multiply both sides of the equation by x
100=103.52941176471*x       - we divide both sides of the equation by (103.52941176471) to get x
100/103.52941176471=x
0.96590909090909=x
x=0.96590909090909

now we have:
0.17 is 0.96590909090909% of 17.6