38 is what percent of 32.75 - 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 32.75 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 32.75, so we can write it down as 100%=32.75.
4. We know, that x% equals 38 of the output value, so we can write it down as x%=38.
5. Now we have two simple equations:
1) 100%=32.75
2) x%=38
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%=32.75/38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 38 is what percent of 32.75

100%/x%=32.75/38
(100/x)*x=(32.75/38)*x       - we multiply both sides of the equation by x
100=0.86184210526316*x       - we divide both sides of the equation by (0.86184210526316) to get x
100/0.86184210526316=x
116.03053435115=x
x=116.03053435115

now we have:
38 is 116.03053435115% of 32.75