19.42 is what percent of 1339.5 - 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 1339.5 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 1339.5, so we can write it down as 100%=1339.5.
4. We know, that x% equals 19.42 of the output value, so we can write it down as x%=19.42.
5. Now we have two simple equations:
1) 100%=1339.5
2) x%=19.42
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%=1339.5/19.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 19.42 is what percent of 1339.5

100%/x%=1339.5/19.42
(100/x)*x=(1339.5/19.42)*x       - we multiply both sides of the equation by x
100=68.975283213182*x       - we divide both sides of the equation by (68.975283213182) to get x
100/68.975283213182=x
1.4497946995147=x
x=1.4497946995147

now we have:
19.42 is 1.4497946995147% of 1339.5