1.48 is what percent of 14.56 - 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 14.56 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 14.56, so we can write it down as 100%=14.56.
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%=14.56
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%=14.56/1.48
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 14.56

100%/x%=14.56/1.48
(100/x)*x=(14.56/1.48)*x       - we multiply both sides of the equation by x
100=9.8378378378378*x       - we divide both sides of the equation by (9.8378378378378) to get x
100/9.8378378378378=x
10.164835164835=x
x=10.164835164835

now we have:
1.48 is 10.164835164835% of 14.56