10.48 is what percent of 12.59 - 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 12.59 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 12.59, so we can write it down as 100%=12.59.
4. We know, that x% equals 10.48 of the output value, so we can write it down as x%=10.48.
5. Now we have two simple equations:
1) 100%=12.59
2) x%=10.48
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%=12.59/10.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.48 is what percent of 12.59

100%/x%=12.59/10.48
(100/x)*x=(12.59/10.48)*x       - we multiply both sides of the equation by x
100=1.2013358778626*x       - we divide both sides of the equation by (1.2013358778626) to get x
100/1.2013358778626=x
83.240667196187=x
x=83.240667196187

now we have:
10.48 is 83.240667196187% of 12.59