What is 84.29 percent of 474.24 - 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 474.24 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 474.24 is 100%, so we can write it down as 474.24=100%.
4. We know, that x is 84.29% of the output value, so we can write it down as x=84.29%.
5. Now we have two simple equations:
1) 474.24=100%
2) x=84.29%
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:
474.24/x=100%/84.29%
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 84.29% of 474.24

474.24/x=100/84.29
(474.24/x)*x=(100/84.29)*x       - we multiply both sides of the equation by x
474.24=1.1863803535413*x       - we divide both sides of the equation by (1.1863803535413) to get x
474.24/1.1863803535413=x
399.736896=x
x=399.736896

now we have:
84.29% of 474.24=399.736896