55.33 is what percent of 333.16 - 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 333.16 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 333.16, so we can write it down as 100%=333.16.
4. We know, that x% equals 55.33 of the output value, so we can write it down as x%=55.33.
5. Now we have two simple equations:
1) 100%=333.16
2) x%=55.33
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%=333.16/55.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 55.33 is what percent of 333.16

100%/x%=333.16/55.33
(100/x)*x=(333.16/55.33)*x       - we multiply both sides of the equation by x
100=6.0213265859389*x       - we divide both sides of the equation by (6.0213265859389) to get x
100/6.0213265859389=x
16.607635970705=x
x=16.607635970705

now we have:
55.33 is 16.607635970705% of 333.16