140.98 is what percent of 548.4 - 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 548.4 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 548.4, so we can write it down as 100%=548.4.
4. We know, that x% equals 140.98 of the output value, so we can write it down as x%=140.98.
5. Now we have two simple equations:
1) 100%=548.4
2) x%=140.98
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%=548.4/140.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 140.98 is what percent of 548.4

100%/x%=548.4/140.98
(100/x)*x=(548.4/140.98)*x       - we multiply both sides of the equation by x
100=3.8899134629025*x       - we divide both sides of the equation by (3.8899134629025) to get x
100/3.8899134629025=x
25.707512764406=x
x=25.707512764406

now we have:
140.98 is 25.707512764406% of 548.4