77.48 is what percent of 1249.6 - 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 1249.6 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 1249.6, so we can write it down as 100%=1249.6.
4. We know, that x% equals 77.48 of the output value, so we can write it down as x%=77.48.
5. Now we have two simple equations:
1) 100%=1249.6
2) x%=77.48
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%=1249.6/77.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 77.48 is what percent of 1249.6

100%/x%=1249.6/77.48
(100/x)*x=(1249.6/77.48)*x       - we multiply both sides of the equation by x
100=16.128033040785*x       - we divide both sides of the equation by (16.128033040785) to get x
100/16.128033040785=x
6.2003841229193=x
x=6.2003841229193

now we have:
77.48 is 6.2003841229193% of 1249.6