32 is what percent of 34.56 - 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 34.56 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 34.56, so we can write it down as 100%=34.56.
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%=34.56
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%=34.56/32
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 34.56

100%/x%=34.56/32
(100/x)*x=(34.56/32)*x       - we multiply both sides of the equation by x
100=1.08*x       - we divide both sides of the equation by (1.08) to get x
100/1.08=x
92.592592592593=x
x=92.592592592593

now we have:
32 is 92.592592592593% of 34.56