What is 72.33 percent of 6.55 - 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 6.55 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 6.55 is 100%, so we can write it down as 6.55=100%.
4. We know, that x is 72.33% of the output value, so we can write it down as x=72.33%.
5. Now we have two simple equations:
1) 6.55=100%
2) x=72.33%
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:
6.55/x=100%/72.33%
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 72.33% of 6.55

6.55/x=100/72.33
(6.55/x)*x=(100/72.33)*x       - we multiply both sides of the equation by x
6.55=1.3825521913452*x       - we divide both sides of the equation by (1.3825521913452) to get x
6.55/1.3825521913452=x
4.737615=x
x=4.737615

now we have:
72.33% of 6.55=4.737615