What is 50.2 percent of 226 - 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 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 226 is 100%, so we can write it down as 226=100%.
4. We know, that x is 50.2% of the output value, so we can write it down as x=50.2%.
5. Now we have two simple equations:
1) 226=100%
2) x=50.2%
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:
226/x=100%/50.2%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 50.2% of 226

226/x=100/50.2
(226/x)*x=(100/50.2)*x       - we multiply both sides of the equation by x
226=1.99203187251*x       - we divide both sides of the equation by (1.99203187251) to get x
226/1.99203187251=x
113.452=x
x=113.452

now we have:
50.2% of 226=113.452