9.02 is what percent of 9.44 - 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 9.44 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 9.44, so we can write it down as 100%=9.44.
4. We know, that x% equals 9.02 of the output value, so we can write it down as x%=9.02.
5. Now we have two simple equations:
1) 100%=9.44
2) x%=9.02
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%=9.44/9.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.02 is what percent of 9.44

100%/x%=9.44/9.02
(100/x)*x=(9.44/9.02)*x       - we multiply both sides of the equation by x
100=1.0465631929047*x       - we divide both sides of the equation by (1.0465631929047) to get x
100/1.0465631929047=x
95.550847457627=x
x=95.550847457627

now we have:
9.02 is 95.550847457627% of 9.44