31.42 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 31.42 of the output value, so we can write it down as x%=31.42.
5. Now we have two simple equations:
1) 100%=1440
2) x%=31.42
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%=1440/31.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 31.42 is what percent of 1440

100%/x%=1440/31.42
(100/x)*x=(1440/31.42)*x       - we multiply both sides of the equation by x
100=45.830681094844*x       - we divide both sides of the equation by (45.830681094844) to get x
100/45.830681094844=x
2.1819444444444=x
x=2.1819444444444

now we have:
31.42 is 2.1819444444444% of 1440