What is 88.4 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 88.4% of the output value, so we can write it down as x=88.4%.
5. Now we have two simple equations:
1) 7.5=100%
2) x=88.4%
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%/88.4%
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 88.4% of 7.5

7.5/x=100/88.4
(7.5/x)*x=(100/88.4)*x       - we multiply both sides of the equation by x
7.5=1.131221719457*x       - we divide both sides of the equation by (1.131221719457) to get x
7.5/1.131221719457=x
6.63=x
x=6.63

now we have:
88.4% of 7.5=6.63