423.3 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 423.3 of the output value, so we can write it down as x%=423.3.
5. Now we have two simple equations:
1) 100%=256
2) x%=423.3
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%=256/423.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 423.3 is what percent of 256

100%/x%=256/423.3
(100/x)*x=(256/423.3)*x       - we multiply both sides of the equation by x
100=0.60477202929365*x       - we divide both sides of the equation by (0.60477202929365) to get x
100/0.60477202929365=x
165.3515625=x
x=165.3515625

now we have:
423.3 is 165.3515625% of 256