226.25 is what percent of 3662.4 - 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 3662.4 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 3662.4, so we can write it down as 100%=3662.4.
4. We know, that x% equals 226.25 of the output value, so we can write it down as x%=226.25.
5. Now we have two simple equations:
1) 100%=3662.4
2) x%=226.25
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%=3662.4/226.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 226.25 is what percent of 3662.4

100%/x%=3662.4/226.25
(100/x)*x=(3662.4/226.25)*x       - we multiply both sides of the equation by x
100=16.187403314917*x       - we divide both sides of the equation by (16.187403314917) to get x
100/16.187403314917=x
6.1776430755789=x
x=6.1776430755789

now we have:
226.25 is 6.1776430755789% of 3662.4