9.43 is what percent of 9.2 - 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 9.2 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 9.2, so we can write it down as 100%=9.2.
4. We know, that x% equals 9.43 of the output value, so we can write it down as x%=9.43.
5. Now we have two simple equations:
1) 100%=9.2
2) x%=9.43
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%=9.2/9.43
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.43 is what percent of 9.2

100%/x%=9.2/9.43
(100/x)*x=(9.2/9.43)*x       - we multiply both sides of the equation by x
100=0.97560975609756*x       - we divide both sides of the equation by (0.97560975609756) to get x
100/0.97560975609756=x
102.5=x
x=102.5

now we have:
9.43 is 102.5% of 9.2