What is 0.027 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 0.027% of the output value, so we can write it down as x=0.027%.
5. Now we have two simple equations:
1) 456.8=100%
2) x=0.027%
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%/0.027%
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 0.027% of 456.8

456.8/x=100/0.027
(456.8/x)*x=(100/0.027)*x       - we multiply both sides of the equation by x
456.8=3703.7037037037*x       - we divide both sides of the equation by (3703.7037037037) to get x
456.8/3703.7037037037=x
0.123336=x
x=0.123336

now we have:
0.027% of 456.8=0.123336