17.16 is what percent of 49 - 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 49 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 49, so we can write it down as 100%=49.
4. We know, that x% equals 17.16 of the output value, so we can write it down as x%=17.16.
5. Now we have two simple equations:
1) 100%=49
2) x%=17.16
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%=49/17.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 17.16 is what percent of 49

100%/x%=49/17.16
(100/x)*x=(49/17.16)*x       - we multiply both sides of the equation by x
100=2.8554778554779*x       - we divide both sides of the equation by (2.8554778554779) to get x
100/2.8554778554779=x
35.020408163265=x
x=35.020408163265

now we have:
17.16 is 35.020408163265% of 49