46.44 is what percent of 229.62 - 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 229.62 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 229.62, so we can write it down as 100%=229.62.
4. We know, that x% equals 46.44 of the output value, so we can write it down as x%=46.44.
5. Now we have two simple equations:
1) 100%=229.62
2) x%=46.44
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%=229.62/46.44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 46.44 is what percent of 229.62

100%/x%=229.62/46.44
(100/x)*x=(229.62/46.44)*x       - we multiply both sides of the equation by x
100=4.9444444444444*x       - we divide both sides of the equation by (4.9444444444444) to get x
100/4.9444444444444=x
20.224719101124=x
x=20.224719101124

now we have:
46.44 is 20.224719101124% of 229.62