7.75 is what percent of 13.99 - 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 13.99 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 13.99, so we can write it down as 100%=13.99.
4. We know, that x% equals 7.75 of the output value, so we can write it down as x%=7.75.
5. Now we have two simple equations:
1) 100%=13.99
2) x%=7.75
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%=13.99/7.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.75 is what percent of 13.99

100%/x%=13.99/7.75
(100/x)*x=(13.99/7.75)*x       - we multiply both sides of the equation by x
100=1.8051612903226*x       - we divide both sides of the equation by (1.8051612903226) to get x
100/1.8051612903226=x
55.396711937098=x
x=55.396711937098

now we have:
7.75 is 55.396711937098% of 13.99