82.38 is what percent of 1359.58 - 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 1359.58 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 1359.58, so we can write it down as 100%=1359.58.
4. We know, that x% equals 82.38 of the output value, so we can write it down as x%=82.38.
5. Now we have two simple equations:
1) 100%=1359.58
2) x%=82.38
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%=1359.58/82.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 82.38 is what percent of 1359.58

100%/x%=1359.58/82.38
(100/x)*x=(1359.58/82.38)*x       - we multiply both sides of the equation by x
100=16.503763049284*x       - we divide both sides of the equation by (16.503763049284) to get x
100/16.503763049284=x
6.0592241721708=x
x=6.0592241721708

now we have:
82.38 is 6.0592241721708% of 1359.58