4.48 is what percent of 48.22 - 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 48.22 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 48.22, so we can write it down as 100%=48.22.
4. We know, that x% equals 4.48 of the output value, so we can write it down as x%=4.48.
5. Now we have two simple equations:
1) 100%=48.22
2) x%=4.48
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%=48.22/4.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.48 is what percent of 48.22

100%/x%=48.22/4.48
(100/x)*x=(48.22/4.48)*x       - we multiply both sides of the equation by x
100=10.763392857143*x       - we divide both sides of the equation by (10.763392857143) to get x
100/10.763392857143=x
9.2907507258399=x
x=9.2907507258399

now we have:
4.48 is 9.2907507258399% of 48.22