What is 84.38 percent of 467.75 - 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 467.75 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 467.75 is 100%, so we can write it down as 467.75=100%.
4. We know, that x is 84.38% of the output value, so we can write it down as x=84.38%.
5. Now we have two simple equations:
1) 467.75=100%
2) x=84.38%
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:
467.75/x=100%/84.38%
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 84.38% of 467.75

467.75/x=100/84.38
(467.75/x)*x=(100/84.38)*x       - we multiply both sides of the equation by x
467.75=1.1851149561507*x       - we divide both sides of the equation by (1.1851149561507) to get x
467.75/1.1851149561507=x
394.68745=x
x=394.68745

now we have:
84.38% of 467.75=394.68745