What is 43.77 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 43.77% of the output value, so we can write it down as x=43.77%.
5. Now we have two simple equations:
1) 48.6=100%
2) x=43.77%
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%/43.77%
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 43.77% of 48.6

48.6/x=100/43.77
(48.6/x)*x=(100/43.77)*x       - we multiply both sides of the equation by x
48.6=2.2846698652045*x       - we divide both sides of the equation by (2.2846698652045) to get x
48.6/2.2846698652045=x
21.27222=x
x=21.27222

now we have:
43.77% of 48.6=21.27222