1438.55 is what percent of 2003.75 - 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 2003.75 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 2003.75, so we can write it down as 100%=2003.75.
4. We know, that x% equals 1438.55 of the output value, so we can write it down as x%=1438.55.
5. Now we have two simple equations:
1) 100%=2003.75
2) x%=1438.55
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%=2003.75/1438.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1438.55 is what percent of 2003.75

100%/x%=2003.75/1438.55
(100/x)*x=(2003.75/1438.55)*x       - we multiply both sides of the equation by x
100=1.3928956240659*x       - we divide both sides of the equation by (1.3928956240659) to get x
100/1.3928956240659=x
71.792888334373=x
x=71.792888334373

now we have:
1438.55 is 71.792888334373% of 2003.75