9.59 is what percent of 9.6 - 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 9.6 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 9.6, so we can write it down as 100%=9.6.
4. We know, that x% equals 9.59 of the output value, so we can write it down as x%=9.59.
5. Now we have two simple equations:
1) 100%=9.6
2) x%=9.59
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%=9.6/9.59
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.59 is what percent of 9.6

100%/x%=9.6/9.59
(100/x)*x=(9.6/9.59)*x       - we multiply both sides of the equation by x
100=1.0010427528676*x       - we divide both sides of the equation by (1.0010427528676) to get x
100/1.0010427528676=x
99.895833333333=x
x=99.895833333333

now we have:
9.59 is 99.895833333333% of 9.6