22.24 is what percent of 176 - 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 176 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 176, so we can write it down as 100%=176.
4. We know, that x% equals 22.24 of the output value, so we can write it down as x%=22.24.
5. Now we have two simple equations:
1) 100%=176
2) x%=22.24
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%=176/22.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 22.24 is what percent of 176

100%/x%=176/22.24
(100/x)*x=(176/22.24)*x       - we multiply both sides of the equation by x
100=7.9136690647482*x       - we divide both sides of the equation by (7.9136690647482) to get x
100/7.9136690647482=x
12.636363636364=x
x=12.636363636364

now we have:
22.24 is 12.636363636364% of 176