345.8 is what percent of 256 - 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 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, so we can write it down as 100%=256.
4. We know, that x% equals 345.8 of the output value, so we can write it down as x%=345.8.
5. Now we have two simple equations:
1) 100%=256
2) x%=345.8
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%=256/345.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 345.8 is what percent of 256

100%/x%=256/345.8
(100/x)*x=(256/345.8)*x       - we multiply both sides of the equation by x
100=0.74031231925969*x       - we divide both sides of the equation by (0.74031231925969) to get x
100/0.74031231925969=x
135.078125=x
x=135.078125

now we have:
345.8 is 135.078125% of 256