82.05 is what percent of 231 - 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 231 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 231, so we can write it down as 100%=231.
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%=231
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%=231/82.05
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 231

100%/x%=231/82.05
(100/x)*x=(231/82.05)*x       - we multiply both sides of the equation by x
100=2.8153564899452*x       - we divide both sides of the equation by (2.8153564899452) to get x
100/2.8153564899452=x
35.519480519481=x
x=35.519480519481

now we have:
82.05 is 35.519480519481% of 231