10.42 is what percent of 14.49 - 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 14.49 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 14.49, so we can write it down as 100%=14.49.
4. We know, that x% equals 10.42 of the output value, so we can write it down as x%=10.42.
5. Now we have two simple equations:
1) 100%=14.49
2) x%=10.42
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%=14.49/10.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.42 is what percent of 14.49

100%/x%=14.49/10.42
(100/x)*x=(14.49/10.42)*x       - we multiply both sides of the equation by x
100=1.3905950095969*x       - we divide both sides of the equation by (1.3905950095969) to get x
100/1.3905950095969=x
71.911663216011=x
x=71.911663216011

now we have:
10.42 is 71.911663216011% of 14.49