What is 90.87 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 90.87% of the output value, so we can write it down as x=90.87%.
5. Now we have two simple equations:
1) 7.5=100%
2) x=90.87%
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%/90.87%
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 90.87% of 7.5

7.5/x=100/90.87
(7.5/x)*x=(100/90.87)*x       - we multiply both sides of the equation by x
7.5=1.1004732034775*x       - we divide both sides of the equation by (1.1004732034775) to get x
7.5/1.1004732034775=x
6.81525=x
x=6.81525

now we have:
90.87% of 7.5=6.81525