1.52 is what percent of 14.48 - 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 14.48 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 14.48, so we can write it down as 100%=14.48.
4. We know, that x% equals 1.52 of the output value, so we can write it down as x%=1.52.
5. Now we have two simple equations:
1) 100%=14.48
2) x%=1.52
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%=14.48/1.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.52 is what percent of 14.48

100%/x%=14.48/1.52
(100/x)*x=(14.48/1.52)*x       - we multiply both sides of the equation by x
100=9.5263157894737*x       - we divide both sides of the equation by (9.5263157894737) to get x
100/9.5263157894737=x
10.497237569061=x
x=10.497237569061

now we have:
1.52 is 10.497237569061% of 14.48