7.88 is what percent of 8.56 - 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 8.56 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 100% equals 8.56, so we can write it down as 100%=8.56.
4. We know, that x% equals 7.88 of the output value, so we can write it down as x%=7.88.
5. Now we have two simple equations:
1) 100%=8.56
2) x%=7.88
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:
100%/x%=8.56/7.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.88 is what percent of 8.56

100%/x%=8.56/7.88
(100/x)*x=(8.56/7.88)*x       - we multiply both sides of the equation by x
100=1.0862944162437*x       - we divide both sides of the equation by (1.0862944162437) to get x
100/1.0862944162437=x
92.056074766355=x
x=92.056074766355

now we have:
7.88 is 92.056074766355% of 8.56