15.78 is what percent of 24 - 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 24 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 24, so we can write it down as 100%=24.
4. We know, that x% equals 15.78 of the output value, so we can write it down as x%=15.78.
5. Now we have two simple equations:
1) 100%=24
2) x%=15.78
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%=24/15.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 15.78 is what percent of 24

100%/x%=24/15.78
(100/x)*x=(24/15.78)*x       - we multiply both sides of the equation by x
100=1.5209125475285*x       - we divide both sides of the equation by (1.5209125475285) to get x
100/1.5209125475285=x
65.75=x
x=65.75

now we have:
15.78 is 65.75% of 24