What is 477.24 percent of 0.03 - 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 0.03 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 0.03 is 100%, so we can write it down as 0.03=100%.
4. We know, that x is 477.24% of the output value, so we can write it down as x=477.24%.
5. Now we have two simple equations:
1) 0.03=100%
2) x=477.24%
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:
0.03/x=100%/477.24%
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 477.24% of 0.03

0.03/x=100/477.24
(0.03/x)*x=(100/477.24)*x       - we multiply both sides of the equation by x
0.03=0.20953817785601*x       - we divide both sides of the equation by (0.20953817785601) to get x
0.03/0.20953817785601=x
0.143172=x
x=0.143172

now we have:
477.24% of 0.03=0.143172