22.33 is what percent of 9.92 - 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 9.92 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 9.92, so we can write it down as 100%=9.92.
4. We know, that x% equals 22.33 of the output value, so we can write it down as x%=22.33.
5. Now we have two simple equations:
1) 100%=9.92
2) x%=22.33
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%=9.92/22.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 22.33 is what percent of 9.92

100%/x%=9.92/22.33
(100/x)*x=(9.92/22.33)*x       - we multiply both sides of the equation by x
100=0.44424540976265*x       - we divide both sides of the equation by (0.44424540976265) to get x
100/0.44424540976265=x
225.10080645161=x
x=225.10080645161

now we have:
22.33 is 225.10080645161% of 9.92