11.9 is what percent of 719.9 - 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 719.9 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 719.9, so we can write it down as 100%=719.9.
4. We know, that x% equals 11.9 of the output value, so we can write it down as x%=11.9.
5. Now we have two simple equations:
1) 100%=719.9
2) x%=11.9
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%=719.9/11.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.9 is what percent of 719.9

100%/x%=719.9/11.9
(100/x)*x=(719.9/11.9)*x       - we multiply both sides of the equation by x
100=60.495798319328*x       - we divide both sides of the equation by (60.495798319328) to get x
100/60.495798319328=x
1.6530073621336=x
x=1.6530073621336

now we have:
11.9 is 1.6530073621336% of 719.9