What is 0.5 percent of 460.75 - 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 460.75 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 460.75 is 100%, so we can write it down as 460.75=100%.
4. We know, that x is 0.5% of the output value, so we can write it down as x=0.5%.
5. Now we have two simple equations:
1) 460.75=100%
2) x=0.5%
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:
460.75/x=100%/0.5%
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 0.5% of 460.75

460.75/x=100/0.5
(460.75/x)*x=(100/0.5)*x       - we multiply both sides of the equation by x
460.75=200*x       - we divide both sides of the equation by (200) to get x
460.75/200=x
2.30375=x
x=2.30375

now we have:
0.5% of 460.75=2.30375