16.42 is what percent of 39.53 - 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 39.53 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 39.53, so we can write it down as 100%=39.53.
4. We know, that x% equals 16.42 of the output value, so we can write it down as x%=16.42.
5. Now we have two simple equations:
1) 100%=39.53
2) x%=16.42
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%=39.53/16.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.42 is what percent of 39.53

100%/x%=39.53/16.42
(100/x)*x=(39.53/16.42)*x       - we multiply both sides of the equation by x
100=2.4074299634592*x       - we divide both sides of the equation by (2.4074299634592) to get x
100/2.4074299634592=x
41.538072350114=x
x=41.538072350114

now we have:
16.42 is 41.538072350114% of 39.53