975.56 is what percent of 3033.56 - 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 3033.56 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 3033.56, so we can write it down as 100%=3033.56.
4. We know, that x% equals 975.56 of the output value, so we can write it down as x%=975.56.
5. Now we have two simple equations:
1) 100%=3033.56
2) x%=975.56
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%=3033.56/975.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 975.56 is what percent of 3033.56

100%/x%=3033.56/975.56
(100/x)*x=(3033.56/975.56)*x       - we multiply both sides of the equation by x
100=3.109557587437*x       - we divide both sides of the equation by (3.109557587437) to get x
100/3.109557587437=x
32.158915597516=x
x=32.158915597516

now we have:
975.56 is 32.158915597516% of 3033.56