What is 0.08 percent of 509.985 - 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 509.985 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 509.985 is 100%, so we can write it down as 509.985=100%.
4. We know, that x is 0.08% of the output value, so we can write it down as x=0.08%.
5. Now we have two simple equations:
1) 509.985=100%
2) x=0.08%
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:
509.985/x=100%/0.08%
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 0.08% of 509.985

509.985/x=100/0.08
(509.985/x)*x=(100/0.08)*x       - we multiply both sides of the equation by x
509.985=1250*x       - we divide both sides of the equation by (1250) to get x
509.985/1250=x
0.407988=x
x=0.407988

now we have:
0.08% of 509.985=0.407988