What is 509.99 percent of 10 - 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 10 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 10 is 100%, so we can write it down as 10=100%.
4. We know, that x is 509.99% of the output value, so we can write it down as x=509.99%.
5. Now we have two simple equations:
1) 10=100%
2) x=509.99%
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:
10/x=100%/509.99%
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 509.99% of 10

10/x=100/509.99
(10/x)*x=(100/509.99)*x       - we multiply both sides of the equation by x
10=0.19608227612306*x       - we divide both sides of the equation by (0.19608227612306) to get x
10/0.19608227612306=x
50.999=x
x=50.999

now we have:
509.99% of 10=50.999