80 is what percent of 548 - 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 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, so we can write it down as 100%=548.
4. We know, that x% equals 80 of the output value, so we can write it down as x%=80.
5. Now we have two simple equations:
1) 100%=548
2) x%=80
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%=548/80
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 80 is what percent of 548

100%/x%=548/80
(100/x)*x=(548/80)*x       - we multiply both sides of the equation by x
100=6.85*x       - we divide both sides of the equation by (6.85) to get x
100/6.85=x
14.598540145985=x
x=14.598540145985

now we have:
80 is 14.598540145985% of 548