3.48 is what percent of 224.81 - 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 224.81 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 224.81, so we can write it down as 100%=224.81.
4. We know, that x% equals 3.48 of the output value, so we can write it down as x%=3.48.
5. Now we have two simple equations:
1) 100%=224.81
2) x%=3.48
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%=224.81/3.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.48 is what percent of 224.81

100%/x%=224.81/3.48
(100/x)*x=(224.81/3.48)*x       - we multiply both sides of the equation by x
100=64.600574712644*x       - we divide both sides of the equation by (64.600574712644) to get x
100/64.600574712644=x
1.5479738445799=x
x=1.5479738445799

now we have:
3.48 is 1.5479738445799% of 224.81