42.19 is what percent of 2344 - 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 2344 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 2344, so we can write it down as 100%=2344.
4. We know, that x% equals 42.19 of the output value, so we can write it down as x%=42.19.
5. Now we have two simple equations:
1) 100%=2344
2) x%=42.19
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%=2344/42.19
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42.19 is what percent of 2344

100%/x%=2344/42.19
(100/x)*x=(2344/42.19)*x       - we multiply both sides of the equation by x
100=55.558189144347*x       - we divide both sides of the equation by (55.558189144347) to get x
100/55.558189144347=x
1.7999146757679=x
x=1.7999146757679

now we have:
42.19 is 1.7999146757679% of 2344