What is 29.8 percent of 269.2 - 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 269.2 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 269.2 is 100%, so we can write it down as 269.2=100%.
4. We know, that x is 29.8% of the output value, so we can write it down as x=29.8%.
5. Now we have two simple equations:
1) 269.2=100%
2) x=29.8%
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:
269.2/x=100%/29.8%
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 29.8% of 269.2

269.2/x=100/29.8
(269.2/x)*x=(100/29.8)*x       - we multiply both sides of the equation by x
269.2=3.35570469799*x       - we divide both sides of the equation by (3.35570469799) to get x
269.2/3.35570469799=x
80.2216=x
x=80.2216

now we have:
29.8% of 269.2=80.2216