82.05 is what percent of 469.08 - 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 469.08 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 469.08, so we can write it down as 100%=469.08.
4. We know, that x% equals 82.05 of the output value, so we can write it down as x%=82.05.
5. Now we have two simple equations:
1) 100%=469.08
2) x%=82.05
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%=469.08/82.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 82.05 is what percent of 469.08

100%/x%=469.08/82.05
(100/x)*x=(469.08/82.05)*x       - we multiply both sides of the equation by x
100=5.7170018281536*x       - we divide both sides of the equation by (5.7170018281536) to get x
100/5.7170018281536=x
17.491685853159=x
x=17.491685853159

now we have:
82.05 is 17.491685853159% of 469.08