What is 5.44 percent of 8.29 - 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 8.29 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 8.29 is 100%, so we can write it down as 8.29=100%.
4. We know, that x is 5.44% of the output value, so we can write it down as x=5.44%.
5. Now we have two simple equations:
1) 8.29=100%
2) x=5.44%
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:
8.29/x=100%/5.44%
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 5.44% of 8.29

8.29/x=100/5.44
(8.29/x)*x=(100/5.44)*x       - we multiply both sides of the equation by x
8.29=18.3823529412*x       - we divide both sides of the equation by (18.3823529412) to get x
8.29/18.3823529412=x
0.450976=x
x=0.450976

now we have:
5.44% of 8.29=0.450976