1.16 is what percent of 7.8 - 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 7.8 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 7.8, so we can write it down as 100%=7.8.
4. We know, that x% equals 1.16 of the output value, so we can write it down as x%=1.16.
5. Now we have two simple equations:
1) 100%=7.8
2) x%=1.16
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%=7.8/1.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.16 is what percent of 7.8

100%/x%=7.8/1.16
(100/x)*x=(7.8/1.16)*x       - we multiply both sides of the equation by x
100=6.7241379310345*x       - we divide both sides of the equation by (6.7241379310345) to get x
100/6.7241379310345=x
14.871794871795=x
x=14.871794871795

now we have:
1.16 is 14.871794871795% of 7.8