48.49 is what percent of 229 - 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 229 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 229, so we can write it down as 100%=229.
4. We know, that x% equals 48.49 of the output value, so we can write it down as x%=48.49.
5. Now we have two simple equations:
1) 100%=229
2) x%=48.49
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%=229/48.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 48.49 is what percent of 229

100%/x%=229/48.49
(100/x)*x=(229/48.49)*x       - we multiply both sides of the equation by x
100=4.7226232212827*x       - we divide both sides of the equation by (4.7226232212827) to get x
100/4.7226232212827=x
21.174672489083=x
x=21.174672489083

now we have:
48.49 is 21.174672489083% of 229