33 is what percent of 3734 - 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 3734 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 3734, so we can write it down as 100%=3734.
4. We know, that x% equals 33 of the output value, so we can write it down as x%=33.
5. Now we have two simple equations:
1) 100%=3734
2) x%=33
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%=3734/33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 33 is what percent of 3734

100%/x%=3734/33
(100/x)*x=(3734/33)*x       - we multiply both sides of the equation by x
100=113.15151515152*x       - we divide both sides of the equation by (113.15151515152) to get x
100/113.15151515152=x
0.88377075522228=x
x=0.88377075522228

now we have:
33 is 0.88377075522228% of 3734