17.85 is what percent of 18.85 - 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 18.85 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 18.85, so we can write it down as 100%=18.85.
4. We know, that x% equals 17.85 of the output value, so we can write it down as x%=17.85.
5. Now we have two simple equations:
1) 100%=18.85
2) x%=17.85
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%=18.85/17.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 17.85 is what percent of 18.85

100%/x%=18.85/17.85
(100/x)*x=(18.85/17.85)*x       - we multiply both sides of the equation by x
100=1.0560224089636*x       - we divide both sides of the equation by (1.0560224089636) to get x
100/1.0560224089636=x
94.694960212202=x
x=94.694960212202

now we have:
17.85 is 94.694960212202% of 18.85