What is 0.1 percent of 456 - 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 456 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 456 is 100%, so we can write it down as 456=100%.
4. We know, that x is 0.1% of the output value, so we can write it down as x=0.1%.
5. Now we have two simple equations:
1) 456=100%
2) x=0.1%
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:
456/x=100%/0.1%
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 0.1% of 456

456/x=100/0.1
(456/x)*x=(100/0.1)*x       - we multiply both sides of the equation by x
456=1000*x       - we divide both sides of the equation by (1000) to get x
456/1000=x
0.456=x
x=0.456

now we have:
0.1% of 456=0.456