What is 8.3 percent of 557.46 - 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 557.46 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 557.46 is 100%, so we can write it down as 557.46=100%.
4. We know, that x is 8.3% of the output value, so we can write it down as x=8.3%.
5. Now we have two simple equations:
1) 557.46=100%
2) x=8.3%
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:
557.46/x=100%/8.3%
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 8.3% of 557.46

557.46/x=100/8.3
(557.46/x)*x=(100/8.3)*x       - we multiply both sides of the equation by x
557.46=12.048192771084*x       - we divide both sides of the equation by (12.048192771084) to get x
557.46/12.048192771084=x
46.26918=x
x=46.26918

now we have:
8.3% of 557.46=46.26918