What is 18.2926829268 percent of 164 - 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 164 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 164 is 100%, so we can write it down as 164=100%.
4. We know, that x is 18.2926829268% of the output value, so we can write it down as x=18.2926829268%.
5. Now we have two simple equations:
1) 164=100%
2) x=18.2926829268%
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:
164/x=100%/18.2926829268%
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 18.2926829268% of 164

164/x=100/18.2926829268
(164/x)*x=(100/18.2926829268)*x       - we multiply both sides of the equation by x
164=5.4666666666754*x       - we divide both sides of the equation by (5.4666666666754) to get x
164/5.4666666666754=x
29.999999999952=x
x=29.999999999952

now we have:
18.2926829268% of 164=29.999999999952