22.8 is what percent of 22.3 - 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 22.3 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 22.3, so we can write it down as 100%=22.3.
4. We know, that x% equals 22.8 of the output value, so we can write it down as x%=22.8.
5. Now we have two simple equations:
1) 100%=22.3
2) x%=22.8
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%=22.3/22.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 22.8 is what percent of 22.3

100%/x%=22.3/22.8
(100/x)*x=(22.3/22.8)*x       - we multiply both sides of the equation by x
100=0.9780701754386*x       - we divide both sides of the equation by (0.9780701754386) to get x
100/0.9780701754386=x
102.24215246637=x
x=102.24215246637

now we have:
22.8 is 102.24215246637% of 22.3