17 is what percent of 1122 - 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 1122 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 1122, so we can write it down as 100%=1122.
4. We know, that x% equals 17 of the output value, so we can write it down as x%=17.
5. Now we have two simple equations:
1) 100%=1122
2) x%=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%=1122/17
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 17 is what percent of 1122

100%/x%=1122/17
(100/x)*x=(1122/17)*x       - we multiply both sides of the equation by x
100=66*x       - we divide both sides of the equation by (66) to get x
100/66=x
1.5151515151515=x
x=1.5151515151515

now we have:
17 is 1.5151515151515% of 1122