What is 10.3 percent of 48.6 - 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 48.6 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 48.6 is 100%, so we can write it down as 48.6=100%.
4. We know, that x is 10.3% of the output value, so we can write it down as x=10.3%.
5. Now we have two simple equations:
1) 48.6=100%
2) x=10.3%
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:
48.6/x=100%/10.3%
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 10.3% of 48.6

48.6/x=100/10.3
(48.6/x)*x=(100/10.3)*x       - we multiply both sides of the equation by x
48.6=9.7087378640777*x       - we divide both sides of the equation by (9.7087378640777) to get x
48.6/9.7087378640777=x
5.0058=x
x=5.0058

now we have:
10.3% of 48.6=5.0058