46.8 is what percent of 226.4 - 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 226.4 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 226.4, so we can write it down as 100%=226.4.
4. We know, that x% equals 46.8 of the output value, so we can write it down as x%=46.8.
5. Now we have two simple equations:
1) 100%=226.4
2) x%=46.8
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%=226.4/46.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 46.8 is what percent of 226.4

100%/x%=226.4/46.8
(100/x)*x=(226.4/46.8)*x       - we multiply both sides of the equation by x
100=4.8376068376068*x       - we divide both sides of the equation by (4.8376068376068) to get x
100/4.8376068376068=x
20.671378091873=x
x=20.671378091873

now we have:
46.8 is 20.671378091873% of 226.4