What is 16.6699999997 percent of 170 - 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 170 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 170 is 100%, so we can write it down as 170=100%.
4. We know, that x is 16.6699999997% of the output value, so we can write it down as x=16.6699999997%.
5. Now we have two simple equations:
1) 170=100%
2) x=16.6699999997%
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:
170/x=100%/16.6699999997%
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 16.6699999997% of 170

170/x=100/16.6699999997
(170/x)*x=(100/16.6699999997)*x       - we multiply both sides of the equation by x
170=5.99880024006*x       - we divide both sides of the equation by (5.99880024006) to get x
170/5.99880024006=x
28.33899999949=x
x=28.33899999949

now we have:
16.6699999997% of 170=28.33899999949