17.01 is what percent of 85.06 - 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 85.06 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 85.06, so we can write it down as 100%=85.06.
4. We know, that x% equals 17.01 of the output value, so we can write it down as x%=17.01.
5. Now we have two simple equations:
1) 100%=85.06
2) x%=17.01
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%=85.06/17.01
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 17.01 is what percent of 85.06

100%/x%=85.06/17.01
(100/x)*x=(85.06/17.01)*x       - we multiply both sides of the equation by x
100=5.0005878894768*x       - we divide both sides of the equation by (5.0005878894768) to get x
100/5.0005878894768=x
19.997648718552=x
x=19.997648718552

now we have:
17.01 is 19.997648718552% of 85.06