10.23 is what percent of 256.5 - 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 256.5 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 256.5, so we can write it down as 100%=256.5.
4. We know, that x% equals 10.23 of the output value, so we can write it down as x%=10.23.
5. Now we have two simple equations:
1) 100%=256.5
2) x%=10.23
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%=256.5/10.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.23 is what percent of 256.5

100%/x%=256.5/10.23
(100/x)*x=(256.5/10.23)*x       - we multiply both sides of the equation by x
100=25.073313782991*x       - we divide both sides of the equation by (25.073313782991) to get x
100/25.073313782991=x
3.9883040935673=x
x=3.9883040935673

now we have:
10.23 is 3.9883040935673% of 256.5