3.33 is what percent of 333.33 - 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 333.33 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 333.33, so we can write it down as 100%=333.33.
4. We know, that x% equals 3.33 of the output value, so we can write it down as x%=3.33.
5. Now we have two simple equations:
1) 100%=333.33
2) x%=3.33
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%=333.33/3.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.33 is what percent of 333.33

100%/x%=333.33/3.33
(100/x)*x=(333.33/3.33)*x       - we multiply both sides of the equation by x
100=100.0990990991*x       - we divide both sides of the equation by (100.0990990991) to get x
100/100.0990990991=x
0.9990099900999=x
x=0.9990099900999

now we have:
3.33 is 0.9990099900999% of 333.33