What is 62.35 percent of 82.62 - 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 82.62 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 82.62 is 100%, so we can write it down as 82.62=100%.
4. We know, that x is 62.35% of the output value, so we can write it down as x=62.35%.
5. Now we have two simple equations:
1) 82.62=100%
2) x=62.35%
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:
82.62/x=100%/62.35%
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 62.35% of 82.62

82.62/x=100/62.35
(82.62/x)*x=(100/62.35)*x       - we multiply both sides of the equation by x
82.62=1.6038492381716*x       - we divide both sides of the equation by (1.6038492381716) to get x
82.62/1.6038492381716=x
51.51357=x
x=51.51357

now we have:
62.35% of 82.62=51.51357