2.98 is what percent of 9.22 - 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 9.22 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 9.22, so we can write it down as 100%=9.22.
4. We know, that x% equals 2.98 of the output value, so we can write it down as x%=2.98.
5. Now we have two simple equations:
1) 100%=9.22
2) x%=2.98
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%=9.22/2.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.98 is what percent of 9.22

100%/x%=9.22/2.98
(100/x)*x=(9.22/2.98)*x       - we multiply both sides of the equation by x
100=3.0939597315436*x       - we divide both sides of the equation by (3.0939597315436) to get x
100/3.0939597315436=x
32.321041214751=x
x=32.321041214751

now we have:
2.98 is 32.321041214751% of 9.22