29.97 is what percent of 223.976 - 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 223.976 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 223.976, so we can write it down as 100%=223.976.
4. We know, that x% equals 29.97 of the output value, so we can write it down as x%=29.97.
5. Now we have two simple equations:
1) 100%=223.976
2) x%=29.97
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%=223.976/29.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 29.97 is what percent of 223.976

100%/x%=223.976/29.97
(100/x)*x=(223.976/29.97)*x       - we multiply both sides of the equation by x
100=7.4733400066733*x       - we divide both sides of the equation by (7.4733400066733) to get x
100/7.4733400066733=x
13.380897953352=x
x=13.380897953352

now we have:
29.97 is 13.380897953352% of 223.976