33.34 is what percent of 5833.33 - 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 5833.33 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 5833.33, so we can write it down as 100%=5833.33.
4. We know, that x% equals 33.34 of the output value, so we can write it down as x%=33.34.
5. Now we have two simple equations:
1) 100%=5833.33
2) x%=33.34
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%=5833.33/33.34
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 33.34 is what percent of 5833.33

100%/x%=5833.33/33.34
(100/x)*x=(5833.33/33.34)*x       - we multiply both sides of the equation by x
100=174.9649070186*x       - we divide both sides of the equation by (174.9649070186) to get x
100/174.9649070186=x
0.57154318373896=x
x=0.57154318373896

now we have:
33.34 is 0.57154318373896% of 5833.33