34.42 is what percent of 440 - 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 440 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 440, so we can write it down as 100%=440.
4. We know, that x% equals 34.42 of the output value, so we can write it down as x%=34.42.
5. Now we have two simple equations:
1) 100%=440
2) x%=34.42
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%=440/34.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 34.42 is what percent of 440

100%/x%=440/34.42
(100/x)*x=(440/34.42)*x       - we multiply both sides of the equation by x
100=12.783265543289*x       - we divide both sides of the equation by (12.783265543289) to get x
100/12.783265543289=x
7.8227272727273=x
x=7.8227272727273

now we have:
34.42 is 7.8227272727273% of 440