1.2 is what percent of 15.63 - 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 15.63 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 15.63, so we can write it down as 100%=15.63.
4. We know, that x% equals 1.2 of the output value, so we can write it down as x%=1.2.
5. Now we have two simple equations:
1) 100%=15.63
2) x%=1.2
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%=15.63/1.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.2 is what percent of 15.63

100%/x%=15.63/1.2
(100/x)*x=(15.63/1.2)*x       - we multiply both sides of the equation by x
100=13.025*x       - we divide both sides of the equation by (13.025) to get x
100/13.025=x
7.6775431861804=x
x=7.6775431861804

now we have:
1.2 is 7.6775431861804% of 15.63