What is 29 percent of 38.46 - 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 38.46 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 38.46 is 100%, so we can write it down as 38.46=100%.
4. We know, that x is 29% of the output value, so we can write it down as x=29%.
5. Now we have two simple equations:
1) 38.46=100%
2) x=29%
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:
38.46/x=100%/29%
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 29% of 38.46

38.46/x=100/29
(38.46/x)*x=(100/29)*x       - we multiply both sides of the equation by x
38.46=3.448275862069*x       - we divide both sides of the equation by (3.448275862069) to get x
38.46/3.448275862069=x
11.1534=x
x=11.1534

now we have:
29% of 38.46=11.1534