1.49 is what percent of 10.42 - 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 10.42 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 10.42, so we can write it down as 100%=10.42.
4. We know, that x% equals 1.49 of the output value, so we can write it down as x%=1.49.
5. Now we have two simple equations:
1) 100%=10.42
2) x%=1.49
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%=10.42/1.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.49 is what percent of 10.42

100%/x%=10.42/1.49
(100/x)*x=(10.42/1.49)*x       - we multiply both sides of the equation by x
100=6.993288590604*x       - we divide both sides of the equation by (6.993288590604) to get x
100/6.993288590604=x
14.299424184261=x
x=14.299424184261

now we have:
1.49 is 14.299424184261% of 10.42