9.68 is what percent of 9.82 - 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 9.82 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 9.82, so we can write it down as 100%=9.82.
4. We know, that x% equals 9.68 of the output value, so we can write it down as x%=9.68.
5. Now we have two simple equations:
1) 100%=9.82
2) x%=9.68
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%=9.82/9.68
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.68 is what percent of 9.82

100%/x%=9.82/9.68
(100/x)*x=(9.82/9.68)*x       - we multiply both sides of the equation by x
100=1.0144628099174*x       - we divide both sides of the equation by (1.0144628099174) to get x
100/1.0144628099174=x
98.57433808554=x
x=98.57433808554

now we have:
9.68 is 98.57433808554% of 9.82