22.4 is what percent of 185 - 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 185 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 185, so we can write it down as 100%=185.
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%=185
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%=185/22.4
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 185

100%/x%=185/22.4
(100/x)*x=(185/22.4)*x       - we multiply both sides of the equation by x
100=8.2589285714286*x       - we divide both sides of the equation by (8.2589285714286) to get x
100/8.2589285714286=x
12.108108108108=x
x=12.108108108108

now we have:
22.4 is 12.108108108108% of 185