What is 8.63 percent of 469.46 - 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 469.46 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 469.46 is 100%, so we can write it down as 469.46=100%.
4. We know, that x is 8.63% of the output value, so we can write it down as x=8.63%.
5. Now we have two simple equations:
1) 469.46=100%
2) x=8.63%
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:
469.46/x=100%/8.63%
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 8.63% of 469.46

469.46/x=100/8.63
(469.46/x)*x=(100/8.63)*x       - we multiply both sides of the equation by x
469.46=11.587485515643*x       - we divide both sides of the equation by (11.587485515643) to get x
469.46/11.587485515643=x
40.514398=x
x=40.514398

now we have:
8.63% of 469.46=40.514398