What is 15.5 percent of 166.666666667 - 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 166.666666667 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 166.666666667 is 100%, so we can write it down as 166.666666667=100%.
4. We know, that x is 15.5% of the output value, so we can write it down as x=15.5%.
5. Now we have two simple equations:
1) 166.666666667=100%
2) x=15.5%
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:
166.666666667/x=100%/15.5%
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 15.5% of 166.666666667

166.666666667/x=100/15.5
(166.666666667/x)*x=(100/15.5)*x       - we multiply both sides of the equation by x
166.666666667=6.4516129032258*x       - we divide both sides of the equation by (6.4516129032258) to get x
166.666666667/6.4516129032258=x
25.833333333385=x
x=25.833333333385

now we have:
15.5% of 166.666666667=25.833333333385