What is 65.399 percent of 7.5 - 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 7.5 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 7.5 is 100%, so we can write it down as 7.5=100%.
4. We know, that x is 65.399% of the output value, so we can write it down as x=65.399%.
5. Now we have two simple equations:
1) 7.5=100%
2) x=65.399%
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:
7.5/x=100%/65.399%
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 65.399% of 7.5

7.5/x=100/65.399
(7.5/x)*x=(100/65.399)*x       - we multiply both sides of the equation by x
7.5=1.5290753681249*x       - we divide both sides of the equation by (1.5290753681249) to get x
7.5/1.5290753681249=x
4.904925=x
x=4.904925

now we have:
65.399% of 7.5=4.904925