What is 72.4 percent of 82.3 - 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 82.3 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 82.3 is 100%, so we can write it down as 82.3=100%.
4. We know, that x is 72.4% of the output value, so we can write it down as x=72.4%.
5. Now we have two simple equations:
1) 82.3=100%
2) x=72.4%
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:
82.3/x=100%/72.4%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 72.4% of 82.3

82.3/x=100/72.4
(82.3/x)*x=(100/72.4)*x       - we multiply both sides of the equation by x
82.3=1.3812154696133*x       - we divide both sides of the equation by (1.3812154696133) to get x
82.3/1.3812154696133=x
59.5852=x
x=59.5852

now we have:
72.4% of 82.3=59.5852