22.3 is what percent of 107.8 - 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 107.8 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 107.8, so we can write it down as 100%=107.8.
4. We know, that x% equals 22.3 of the output value, so we can write it down as x%=22.3.
5. Now we have two simple equations:
1) 100%=107.8
2) x%=22.3
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%=107.8/22.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 22.3 is what percent of 107.8

100%/x%=107.8/22.3
(100/x)*x=(107.8/22.3)*x       - we multiply both sides of the equation by x
100=4.8340807174888*x       - we divide both sides of the equation by (4.8340807174888) to get x
100/4.8340807174888=x
20.686456400742=x
x=20.686456400742

now we have:
22.3 is 20.686456400742% of 107.8