What is 87.71 percent of 24.8 - 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 24.8 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 24.8 is 100%, so we can write it down as 24.8=100%.
4. We know, that x is 87.71% of the output value, so we can write it down as x=87.71%.
5. Now we have two simple equations:
1) 24.8=100%
2) x=87.71%
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:
24.8/x=100%/87.71%
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 87.71% of 24.8

24.8/x=100/87.71
(24.8/x)*x=(100/87.71)*x       - we multiply both sides of the equation by x
24.8=1.1401208528104*x       - we divide both sides of the equation by (1.1401208528104) to get x
24.8/1.1401208528104=x
21.75208=x
x=21.75208

now we have:
87.71% of 24.8=21.75208