55.7 is what percent of 1440 - 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 1440 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 1440, so we can write it down as 100%=1440.
4. We know, that x% equals 55.7 of the output value, so we can write it down as x%=55.7.
5. Now we have two simple equations:
1) 100%=1440
2) x%=55.7
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%=1440/55.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 55.7 is what percent of 1440

100%/x%=1440/55.7
(100/x)*x=(1440/55.7)*x       - we multiply both sides of the equation by x
100=25.852782764811*x       - we divide both sides of the equation by (25.852782764811) to get x
100/25.852782764811=x
3.8680555555556=x
x=3.8680555555556

now we have:
55.7 is 3.8680555555556% of 1440