17.19 is what percent of 20.82 - 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 20.82 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 20.82, so we can write it down as 100%=20.82.
4. We know, that x% equals 17.19 of the output value, so we can write it down as x%=17.19.
5. Now we have two simple equations:
1) 100%=20.82
2) x%=17.19
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%=20.82/17.19
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 17.19 is what percent of 20.82

100%/x%=20.82/17.19
(100/x)*x=(20.82/17.19)*x       - we multiply both sides of the equation by x
100=1.2111692844677*x       - we divide both sides of the equation by (1.2111692844677) to get x
100/1.2111692844677=x
82.564841498559=x
x=82.564841498559

now we have:
17.19 is 82.564841498559% of 20.82