255.86 is what percent of 1200 - 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 1200 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 1200, so we can write it down as 100%=1200.
4. We know, that x% equals 255.86 of the output value, so we can write it down as x%=255.86.
5. Now we have two simple equations:
1) 100%=1200
2) x%=255.86
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%=1200/255.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 255.86 is what percent of 1200

100%/x%=1200/255.86
(100/x)*x=(1200/255.86)*x       - we multiply both sides of the equation by x
100=4.6900648792308*x       - we divide both sides of the equation by (4.6900648792308) to get x
100/4.6900648792308=x
21.321666666667=x
x=21.321666666667

now we have:
255.86 is 21.321666666667% of 1200