4.48 is what percent of 147.18 - 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 147.18 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 147.18, so we can write it down as 100%=147.18.
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%=147.18
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%=147.18/4.48
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 147.18

100%/x%=147.18/4.48
(100/x)*x=(147.18/4.48)*x       - we multiply both sides of the equation by x
100=32.852678571429*x       - we divide both sides of the equation by (32.852678571429) to get x
100/32.852678571429=x
3.0438918331295=x
x=3.0438918331295

now we have:
4.48 is 3.0438918331295% of 147.18