24.75 is what percent of 6.5625 - 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 6.5625 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 6.5625, so we can write it down as 100%=6.5625.
4. We know, that x% equals 24.75 of the output value, so we can write it down as x%=24.75.
5. Now we have two simple equations:
1) 100%=6.5625
2) x%=24.75
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%=6.5625/24.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 24.75 is what percent of 6.5625

100%/x%=6.5625/24.75
(100/x)*x=(6.5625/24.75)*x       - we multiply both sides of the equation by x
100=0.26515151515152*x       - we divide both sides of the equation by (0.26515151515152) to get x
100/0.26515151515152=x
377.14285714286=x
x=377.14285714286

now we have:
24.75 is 377.14285714286% of 6.5625