17.08 is what percent of 156.86 - 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 156.86 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 156.86, so we can write it down as 100%=156.86.
4. We know, that x% equals 17.08 of the output value, so we can write it down as x%=17.08.
5. Now we have two simple equations:
1) 100%=156.86
2) x%=17.08
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%=156.86/17.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 17.08 is what percent of 156.86

100%/x%=156.86/17.08
(100/x)*x=(156.86/17.08)*x       - we multiply both sides of the equation by x
100=9.1838407494145*x       - we divide both sides of the equation by (9.1838407494145) to get x
100/9.1838407494145=x
10.888690552085=x
x=10.888690552085

now we have:
17.08 is 10.888690552085% of 156.86