What is 82.42 percent of 472 - 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 472 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 472 is 100%, so we can write it down as 472=100%.
4. We know, that x is 82.42% of the output value, so we can write it down as x=82.42%.
5. Now we have two simple equations:
1) 472=100%
2) x=82.42%
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:
472/x=100%/82.42%
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 82.42% of 472

472/x=100/82.42
(472/x)*x=(100/82.42)*x       - we multiply both sides of the equation by x
472=1.2132977432662*x       - we divide both sides of the equation by (1.2132977432662) to get x
472/1.2132977432662=x
389.0224=x
x=389.0224

now we have:
82.42% of 472=389.0224