32.89 is what percent of 1339.5 - 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 1339.5 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 1339.5, so we can write it down as 100%=1339.5.
4. We know, that x% equals 32.89 of the output value, so we can write it down as x%=32.89.
5. Now we have two simple equations:
1) 100%=1339.5
2) x%=32.89
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%=1339.5/32.89
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 32.89 is what percent of 1339.5

100%/x%=1339.5/32.89
(100/x)*x=(1339.5/32.89)*x       - we multiply both sides of the equation by x
100=40.726664639708*x       - we divide both sides of the equation by (40.726664639708) to get x
100/40.726664639708=x
2.4553938036581=x
x=2.4553938036581

now we have:
32.89 is 2.4553938036581% of 1339.5