1438.11 is what percent of 8245.75 - 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 8245.75 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 8245.75, so we can write it down as 100%=8245.75.
4. We know, that x% equals 1438.11 of the output value, so we can write it down as x%=1438.11.
5. Now we have two simple equations:
1) 100%=8245.75
2) x%=1438.11
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%=8245.75/1438.11
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1438.11 is what percent of 8245.75

100%/x%=8245.75/1438.11
(100/x)*x=(8245.75/1438.11)*x       - we multiply both sides of the equation by x
100=5.7337408125943*x       - we divide both sides of the equation by (5.7337408125943) to get x
100/5.7337408125943=x
17.440620925932=x
x=17.440620925932

now we have:
1438.11 is 17.440620925932% of 8245.75