9.62 is what percent of 9.52 - 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 9.52 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 9.52, so we can write it down as 100%=9.52.
4. We know, that x% equals 9.62 of the output value, so we can write it down as x%=9.62.
5. Now we have two simple equations:
1) 100%=9.52
2) x%=9.62
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%=9.52/9.62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.62 is what percent of 9.52

100%/x%=9.52/9.62
(100/x)*x=(9.52/9.62)*x       - we multiply both sides of the equation by x
100=0.98960498960499*x       - we divide both sides of the equation by (0.98960498960499) to get x
100/0.98960498960499=x
101.05042016807=x
x=101.05042016807

now we have:
9.62 is 101.05042016807% of 9.52