32 is what percent of 1034 - 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 1034 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 1034, so we can write it down as 100%=1034.
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%=1034
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%=1034/32
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 1034

100%/x%=1034/32
(100/x)*x=(1034/32)*x       - we multiply both sides of the equation by x
100=32.3125*x       - we divide both sides of the equation by (32.3125) to get x
100/32.3125=x
3.0947775628627=x
x=3.0947775628627

now we have:
32 is 3.0947775628627% of 1034