14.85 is what percent of 17.85 - 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 17.85 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 17.85, so we can write it down as 100%=17.85.
4. We know, that x% equals 14.85 of the output value, so we can write it down as x%=14.85.
5. Now we have two simple equations:
1) 100%=17.85
2) x%=14.85
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%=17.85/14.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 14.85 is what percent of 17.85

100%/x%=17.85/14.85
(100/x)*x=(17.85/14.85)*x       - we multiply both sides of the equation by x
100=1.2020202020202*x       - we divide both sides of the equation by (1.2020202020202) to get x
100/1.2020202020202=x
83.193277310924=x
x=83.193277310924

now we have:
14.85 is 83.193277310924% of 17.85