13.33 is what percent of 5775.4 - 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 5775.4 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 5775.4, so we can write it down as 100%=5775.4.
4. We know, that x% equals 13.33 of the output value, so we can write it down as x%=13.33.
5. Now we have two simple equations:
1) 100%=5775.4
2) x%=13.33
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%=5775.4/13.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.33 is what percent of 5775.4

100%/x%=5775.4/13.33
(100/x)*x=(5775.4/13.33)*x       - we multiply both sides of the equation by x
100=433.26331582896*x       - we divide both sides of the equation by (433.26331582896) to get x
100/433.26331582896=x
0.23080652422343=x
x=0.23080652422343

now we have:
13.33 is 0.23080652422343% of 5775.4