What is 9.99 percent of 456.8 - 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 456.8 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 456.8 is 100%, so we can write it down as 456.8=100%.
4. We know, that x is 9.99% of the output value, so we can write it down as x=9.99%.
5. Now we have two simple equations:
1) 456.8=100%
2) x=9.99%
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:
456.8/x=100%/9.99%
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 9.99% of 456.8

456.8/x=100/9.99
(456.8/x)*x=(100/9.99)*x       - we multiply both sides of the equation by x
456.8=10.01001001001*x       - we divide both sides of the equation by (10.01001001001) to get x
456.8/10.01001001001=x
45.63432=x
x=45.63432

now we have:
9.99% of 456.8=45.63432