9.2 is what percent of 9.3 - 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 9.3 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 9.3, so we can write it down as 100%=9.3.
4. We know, that x% equals 9.2 of the output value, so we can write it down as x%=9.2.
5. Now we have two simple equations:
1) 100%=9.3
2) x%=9.2
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%=9.3/9.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.2 is what percent of 9.3

100%/x%=9.3/9.2
(100/x)*x=(9.3/9.2)*x       - we multiply both sides of the equation by x
100=1.0108695652174*x       - we divide both sides of the equation by (1.0108695652174) to get x
100/1.0108695652174=x
98.924731182796=x
x=98.924731182796

now we have:
9.2 is 98.924731182796% of 9.3