31.27 is what percent of 1042.44 - 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 1042.44 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 1042.44, so we can write it down as 100%=1042.44.
4. We know, that x% equals 31.27 of the output value, so we can write it down as x%=31.27.
5. Now we have two simple equations:
1) 100%=1042.44
2) x%=31.27
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%=1042.44/31.27
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 31.27 is what percent of 1042.44

100%/x%=1042.44/31.27
(100/x)*x=(1042.44/31.27)*x       - we multiply both sides of the equation by x
100=33.336744483531*x       - we divide both sides of the equation by (33.336744483531) to get x
100/33.336744483531=x
2.9996930278961=x
x=2.9996930278961

now we have:
31.27 is 2.9996930278961% of 1042.44