What is 3.5 percent of 166.9 - 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 166.9 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 166.9 is 100%, so we can write it down as 166.9=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) 166.9=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:
166.9/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 166.9

166.9/x=100/3.5
(166.9/x)*x=(100/3.5)*x       - we multiply both sides of the equation by x
166.9=28.571428571429*x       - we divide both sides of the equation by (28.571428571429) to get x
166.9/28.571428571429=x
5.8415=x
x=5.8415

now we have:
3.5% of 166.9=5.8415