33.44 is what percent of 1393 - 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 1393 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 1393, so we can write it down as 100%=1393.
4. We know, that x% equals 33.44 of the output value, so we can write it down as x%=33.44.
5. Now we have two simple equations:
1) 100%=1393
2) x%=33.44
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%=1393/33.44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 33.44 is what percent of 1393

100%/x%=1393/33.44
(100/x)*x=(1393/33.44)*x       - we multiply both sides of the equation by x
100=41.656698564593*x       - we divide both sides of the equation by (41.656698564593) to get x
100/41.656698564593=x
2.4005743000718=x
x=2.4005743000718

now we have:
33.44 is 2.4005743000718% of 1393