1.48 is what percent of 1.63 - 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 1.63 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 1.63, so we can write it down as 100%=1.63.
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%=1.63
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%=1.63/1.48
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 1.63

100%/x%=1.63/1.48
(100/x)*x=(1.63/1.48)*x       - we multiply both sides of the equation by x
100=1.1013513513514*x       - we divide both sides of the equation by (1.1013513513514) to get x
100/1.1013513513514=x
90.79754601227=x
x=90.79754601227

now we have:
1.48 is 90.79754601227% of 1.63