What is 1.477 percent of 30.48 - 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 30.48 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 30.48 is 100%, so we can write it down as 30.48=100%.
4. We know, that x is 1.477% of the output value, so we can write it down as x=1.477%.
5. Now we have two simple equations:
1) 30.48=100%
2) x=1.477%
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:
30.48/x=100%/1.477%
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 1.477% of 30.48

30.48/x=100/1.477
(30.48/x)*x=(100/1.477)*x       - we multiply both sides of the equation by x
30.48=67.7048070413*x       - we divide both sides of the equation by (67.7048070413) to get x
30.48/67.7048070413=x
0.4501896=x
x=0.4501896

now we have:
1.477% of 30.48=0.4501896