What is 9.2857142857143 percent of 500 - 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 500 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 500 is 100%, so we can write it down as 500=100%.
4. We know, that x is 9.2857142857143% of the output value, so we can write it down as x=9.2857142857143%.
5. Now we have two simple equations:
1) 500=100%
2) x=9.2857142857143%
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:
500/x=100%/9.2857142857143%
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 9.2857142857143% of 500

500/x=100/9.2857142857143
(500/x)*x=(100/9.2857142857143)*x       - we multiply both sides of the equation by x
500=10.769230769231*x       - we divide both sides of the equation by (10.769230769231) to get x
500/10.769230769231=x
46.428571428572=x
x=46.428571428572

now we have:
9.2857142857143% of 500=46.428571428572