9.53 is what percent of 9.64 - 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 9.64 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 9.64, so we can write it down as 100%=9.64.
4. We know, that x% equals 9.53 of the output value, so we can write it down as x%=9.53.
5. Now we have two simple equations:
1) 100%=9.64
2) x%=9.53
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%=9.64/9.53
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.53 is what percent of 9.64

100%/x%=9.64/9.53
(100/x)*x=(9.64/9.53)*x       - we multiply both sides of the equation by x
100=1.0115424973767*x       - we divide both sides of the equation by (1.0115424973767) to get x
100/1.0115424973767=x
98.858921161826=x
x=98.858921161826

now we have:
9.53 is 98.858921161826% of 9.64