16.85 is what percent of 17.35 - 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 17.35 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 17.35, so we can write it down as 100%=17.35.
4. We know, that x% equals 16.85 of the output value, so we can write it down as x%=16.85.
5. Now we have two simple equations:
1) 100%=17.35
2) x%=16.85
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%=17.35/16.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.85 is what percent of 17.35

100%/x%=17.35/16.85
(100/x)*x=(17.35/16.85)*x       - we multiply both sides of the equation by x
100=1.0296735905045*x       - we divide both sides of the equation by (1.0296735905045) to get x
100/1.0296735905045=x
97.118155619597=x
x=97.118155619597

now we have:
16.85 is 97.118155619597% of 17.35