What is 96.82 percent of 7.62 - 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 7.62 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 7.62 is 100%, so we can write it down as 7.62=100%.
4. We know, that x is 96.82% of the output value, so we can write it down as x=96.82%.
5. Now we have two simple equations:
1) 7.62=100%
2) x=96.82%
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:
7.62/x=100%/96.82%
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 96.82% of 7.62

7.62/x=100/96.82
(7.62/x)*x=(100/96.82)*x       - we multiply both sides of the equation by x
7.62=1.0328444536253*x       - we divide both sides of the equation by (1.0328444536253) to get x
7.62/1.0328444536253=x
7.377684=x
x=7.377684

now we have:
96.82% of 7.62=7.377684