22.4 is what percent of 51.2 - 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 51.2 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 51.2, so we can write it down as 100%=51.2.
4. We know, that x% equals 22.4 of the output value, so we can write it down as x%=22.4.
5. Now we have two simple equations:
1) 100%=51.2
2) x%=22.4
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%=51.2/22.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 22.4 is what percent of 51.2

100%/x%=51.2/22.4
(100/x)*x=(51.2/22.4)*x       - we multiply both sides of the equation by x
100=2.2857142857143*x       - we divide both sides of the equation by (2.2857142857143) to get x
100/2.2857142857143=x
43.75=x
x=43.75

now we have:
22.4 is 43.75% of 51.2