What is 3.5 percent of 209.84 - 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 209.84 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 209.84 is 100%, so we can write it down as 209.84=100%.
4. We know, that x is 3.5% of the output value, so we can write it down as x=3.5%.
5. Now we have two simple equations:
1) 209.84=100%
2) x=3.5%
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:
209.84/x=100%/3.5%
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 3.5% of 209.84

209.84/x=100/3.5
(209.84/x)*x=(100/3.5)*x       - we multiply both sides of the equation by x
209.84=28.571428571429*x       - we divide both sides of the equation by (28.571428571429) to get x
209.84/28.571428571429=x
7.3444=x
x=7.3444

now we have:
3.5% of 209.84=7.3444