32 is what percent of 1255 - 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 1255 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 1255, so we can write it down as 100%=1255.
4. We know, that x% equals 32 of the output value, so we can write it down as x%=32.
5. Now we have two simple equations:
1) 100%=1255
2) x%=32
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%=1255/32
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 32 is what percent of 1255

100%/x%=1255/32
(100/x)*x=(1255/32)*x       - we multiply both sides of the equation by x
100=39.21875*x       - we divide both sides of the equation by (39.21875) to get x
100/39.21875=x
2.5498007968127=x
x=2.5498007968127

now we have:
32 is 2.5498007968127% of 1255