What is 2.4 percent of 106.29 - 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 106.29 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 106.29 is 100%, so we can write it down as 106.29=100%.
4. We know, that x is 2.4% of the output value, so we can write it down as x=2.4%.
5. Now we have two simple equations:
1) 106.29=100%
2) x=2.4%
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:
106.29/x=100%/2.4%
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 2.4% of 106.29

106.29/x=100/2.4
(106.29/x)*x=(100/2.4)*x       - we multiply both sides of the equation by x
106.29=41.666666666667*x       - we divide both sides of the equation by (41.666666666667) to get x
106.29/41.666666666667=x
2.55096=x
x=2.55096

now we have:
2.4% of 106.29=2.55096