10.3 is what percent of 15.3 - 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 15.3 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 15.3, so we can write it down as 100%=15.3.
4. We know, that x% equals 10.3 of the output value, so we can write it down as x%=10.3.
5. Now we have two simple equations:
1) 100%=15.3
2) x%=10.3
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%=15.3/10.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.3 is what percent of 15.3

100%/x%=15.3/10.3
(100/x)*x=(15.3/10.3)*x       - we multiply both sides of the equation by x
100=1.4854368932039*x       - we divide both sides of the equation by (1.4854368932039) to get x
100/1.4854368932039=x
67.320261437908=x
x=67.320261437908

now we have:
10.3 is 67.320261437908% of 15.3