What is 87.6 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 87.6% of the output value, so we can write it down as x=87.6%.
5. Now we have two simple equations:
1) 7.5=100%
2) x=87.6%
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%/87.6%
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 87.6% of 7.5

7.5/x=100/87.6
(7.5/x)*x=(100/87.6)*x       - we multiply both sides of the equation by x
7.5=1.1415525114155*x       - we divide both sides of the equation by (1.1415525114155) to get x
7.5/1.1415525114155=x
6.57=x
x=6.57

now we have:
87.6% of 7.5=6.57