What is 84.75 percent of 492.75 - 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 492.75 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 492.75 is 100%, so we can write it down as 492.75=100%.
4. We know, that x is 84.75% of the output value, so we can write it down as x=84.75%.
5. Now we have two simple equations:
1) 492.75=100%
2) x=84.75%
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:
492.75/x=100%/84.75%
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 84.75% of 492.75

492.75/x=100/84.75
(492.75/x)*x=(100/84.75)*x       - we multiply both sides of the equation by x
492.75=1.1799410029499*x       - we divide both sides of the equation by (1.1799410029499) to get x
492.75/1.1799410029499=x
417.605625=x
x=417.605625

now we have:
84.75% of 492.75=417.605625