What is 5.2 percent of 102.09 - 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 102.09 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 102.09 is 100%, so we can write it down as 102.09=100%.
4. We know, that x is 5.2% of the output value, so we can write it down as x=5.2%.
5. Now we have two simple equations:
1) 102.09=100%
2) x=5.2%
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:
102.09/x=100%/5.2%
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 5.2% of 102.09

102.09/x=100/5.2
(102.09/x)*x=(100/5.2)*x       - we multiply both sides of the equation by x
102.09=19.230769230769*x       - we divide both sides of the equation by (19.230769230769) to get x
102.09/19.230769230769=x
5.30868=x
x=5.30868

now we have:
5.2% of 102.09=5.30868