1.48 is what percent of 13.68 - 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 13.68 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 13.68, so we can write it down as 100%=13.68.
4. We know, that x% equals 1.48 of the output value, so we can write it down as x%=1.48.
5. Now we have two simple equations:
1) 100%=13.68
2) x%=1.48
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%=13.68/1.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.48 is what percent of 13.68

100%/x%=13.68/1.48
(100/x)*x=(13.68/1.48)*x       - we multiply both sides of the equation by x
100=9.2432432432432*x       - we divide both sides of the equation by (9.2432432432432) to get x
100/9.2432432432432=x
10.818713450292=x
x=10.818713450292

now we have:
1.48 is 10.818713450292% of 13.68