What is 27.7 percent of 106 - 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 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 is 100%, so we can write it down as 106=100%.
4. We know, that x is 27.7% of the output value, so we can write it down as x=27.7%.
5. Now we have two simple equations:
1) 106=100%
2) x=27.7%
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/x=100%/27.7%
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 27.7% of 106

106/x=100/27.7
(106/x)*x=(100/27.7)*x       - we multiply both sides of the equation by x
106=3.6101083032491*x       - we divide both sides of the equation by (3.6101083032491) to get x
106/3.6101083032491=x
29.362=x
x=29.362

now we have:
27.7% of 106=29.362