2.23 is what percent of 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 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 4, so we can write it down as 100%=4.
4. We know, that x% equals 2.23 of the output value, so we can write it down as x%=2.23.
5. Now we have two simple equations:
1) 100%=4
2) x%=2.23
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%=4/2.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.23 is what percent of 4

100%/x%=4/2.23
(100/x)*x=(4/2.23)*x       - we multiply both sides of the equation by x
100=1.7937219730942*x       - we divide both sides of the equation by (1.7937219730942) to get x
100/1.7937219730942=x
55.75=x
x=55.75

now we have:
2.23 is 55.75% of 4