What is 4.89 percent of 11.24 - 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 11.24 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 11.24 is 100%, so we can write it down as 11.24=100%.
4. We know, that x is 4.89% of the output value, so we can write it down as x=4.89%.
5. Now we have two simple equations:
1) 11.24=100%
2) x=4.89%
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:
11.24/x=100%/4.89%
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 4.89% of 11.24

11.24/x=100/4.89
(11.24/x)*x=(100/4.89)*x       - we multiply both sides of the equation by x
11.24=20.449897750511*x       - we divide both sides of the equation by (20.449897750511) to get x
11.24/20.449897750511=x
0.549636=x
x=0.549636

now we have:
4.89% of 11.24=0.549636