80.4 is what percent of 5401.67 - 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 5401.67 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 5401.67, so we can write it down as 100%=5401.67.
4. We know, that x% equals 80.4 of the output value, so we can write it down as x%=80.4.
5. Now we have two simple equations:
1) 100%=5401.67
2) x%=80.4
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%=5401.67/80.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 80.4 is what percent of 5401.67

100%/x%=5401.67/80.4
(100/x)*x=(5401.67/80.4)*x       - we multiply both sides of the equation by x
100=67.184950248756*x       - we divide both sides of the equation by (67.184950248756) to get x
100/67.184950248756=x
1.4884285785692=x
x=1.4884285785692

now we have:
80.4 is 1.4884285785692% of 5401.67