7.73 is what percent of 18.88 - 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 18.88 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 18.88, so we can write it down as 100%=18.88.
4. We know, that x% equals 7.73 of the output value, so we can write it down as x%=7.73.
5. Now we have two simple equations:
1) 100%=18.88
2) x%=7.73
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%=18.88/7.73
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.73 is what percent of 18.88

100%/x%=18.88/7.73
(100/x)*x=(18.88/7.73)*x       - we multiply both sides of the equation by x
100=2.4424320827943*x       - we divide both sides of the equation by (2.4424320827943) to get x
100/2.4424320827943=x
40.942796610169=x
x=40.942796610169

now we have:
7.73 is 40.942796610169% of 18.88