What is 48.83 percent of 83.57 - 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 83.57 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 83.57 is 100%, so we can write it down as 83.57=100%.
4. We know, that x is 48.83% of the output value, so we can write it down as x=48.83%.
5. Now we have two simple equations:
1) 83.57=100%
2) x=48.83%
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:
83.57/x=100%/48.83%
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 48.83% of 83.57

83.57/x=100/48.83
(83.57/x)*x=(100/48.83)*x       - we multiply both sides of the equation by x
83.57=2.0479213598198*x       - we divide both sides of the equation by (2.0479213598198) to get x
83.57/2.0479213598198=x
40.807231=x
x=40.807231

now we have:
48.83% of 83.57=40.807231