12.08 is what percent of 61.53 - 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 61.53 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 61.53, so we can write it down as 100%=61.53.
4. We know, that x% equals 12.08 of the output value, so we can write it down as x%=12.08.
5. Now we have two simple equations:
1) 100%=61.53
2) x%=12.08
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%=61.53/12.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.08 is what percent of 61.53

100%/x%=61.53/12.08
(100/x)*x=(61.53/12.08)*x       - we multiply both sides of the equation by x
100=5.0935430463576*x       - we divide both sides of the equation by (5.0935430463576) to get x
100/5.0935430463576=x
19.632699496181=x
x=19.632699496181

now we have:
12.08 is 19.632699496181% of 61.53