29.6 is what percent of 32 - 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 32 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 32, so we can write it down as 100%=32.
4. We know, that x% equals 29.6 of the output value, so we can write it down as x%=29.6.
5. Now we have two simple equations:
1) 100%=32
2) x%=29.6
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%=32/29.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 29.6 is what percent of 32

100%/x%=32/29.6
(100/x)*x=(32/29.6)*x       - we multiply both sides of the equation by x
100=1.0810810810811*x       - we divide both sides of the equation by (1.0810810810811) to get x
100/1.0810810810811=x
92.5=x
x=92.5

now we have:
29.6 is 92.5% of 32