449.86 is what percent of 1938 - 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 1938 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 1938, so we can write it down as 100%=1938.
4. We know, that x% equals 449.86 of the output value, so we can write it down as x%=449.86.
5. Now we have two simple equations:
1) 100%=1938
2) x%=449.86
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%=1938/449.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 449.86 is what percent of 1938

100%/x%=1938/449.86
(100/x)*x=(1938/449.86)*x       - we multiply both sides of the equation by x
100=4.308006935491*x       - we divide both sides of the equation by (4.308006935491) to get x
100/4.308006935491=x
23.212590299278=x
x=23.212590299278

now we have:
449.86 is 23.212590299278% of 1938