32.75 is what percent of 1193.75 - 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 1193.75 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 1193.75, so we can write it down as 100%=1193.75.
4. We know, that x% equals 32.75 of the output value, so we can write it down as x%=32.75.
5. Now we have two simple equations:
1) 100%=1193.75
2) x%=32.75
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%=1193.75/32.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 32.75 is what percent of 1193.75

100%/x%=1193.75/32.75
(100/x)*x=(1193.75/32.75)*x       - we multiply both sides of the equation by x
100=36.450381679389*x       - we divide both sides of the equation by (36.450381679389) to get x
100/36.450381679389=x
2.7434554973822=x
x=2.7434554973822

now we have:
32.75 is 2.7434554973822% of 1193.75