38.88 is what percent of 1923 - 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 1923 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 1923, so we can write it down as 100%=1923.
4. We know, that x% equals 38.88 of the output value, so we can write it down as x%=38.88.
5. Now we have two simple equations:
1) 100%=1923
2) x%=38.88
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%=1923/38.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 38.88 is what percent of 1923

100%/x%=1923/38.88
(100/x)*x=(1923/38.88)*x       - we multiply both sides of the equation by x
100=49.45987654321*x       - we divide both sides of the equation by (49.45987654321) to get x
100/49.45987654321=x
2.0218408736349=x
x=2.0218408736349

now we have:
38.88 is 2.0218408736349% of 1923