What is 9.6 percent of 509.6 - 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 509.6 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 509.6 is 100%, so we can write it down as 509.6=100%.
4. We know, that x is 9.6% of the output value, so we can write it down as x=9.6%.
5. Now we have two simple equations:
1) 509.6=100%
2) x=9.6%
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:
509.6/x=100%/9.6%
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 9.6% of 509.6

509.6/x=100/9.6
(509.6/x)*x=(100/9.6)*x       - we multiply both sides of the equation by x
509.6=10.416666666667*x       - we divide both sides of the equation by (10.416666666667) to get x
509.6/10.416666666667=x
48.9216=x
x=48.9216

now we have:
9.6% of 509.6=48.9216