What is 0.9 percent of 456.996 - 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 456.996 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 456.996 is 100%, so we can write it down as 456.996=100%.
4. We know, that x is 0.9% of the output value, so we can write it down as x=0.9%.
5. Now we have two simple equations:
1) 456.996=100%
2) x=0.9%
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:
456.996/x=100%/0.9%
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 0.9% of 456.996

456.996/x=100/0.9
(456.996/x)*x=(100/0.9)*x       - we multiply both sides of the equation by x
456.996=111.11111111111*x       - we divide both sides of the equation by (111.11111111111) to get x
456.996/111.11111111111=x
4.112964=x
x=4.112964

now we have:
0.9% of 456.996=4.112964