333.33 is what percent of 477.42 - 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 477.42 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 477.42, so we can write it down as 100%=477.42.
4. We know, that x% equals 333.33 of the output value, so we can write it down as x%=333.33.
5. Now we have two simple equations:
1) 100%=477.42
2) x%=333.33
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%=477.42/333.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 333.33 is what percent of 477.42

100%/x%=477.42/333.33
(100/x)*x=(477.42/333.33)*x       - we multiply both sides of the equation by x
100=1.4322743227432*x       - we divide both sides of the equation by (1.4322743227432) to get x
100/1.4322743227432=x
69.819027271585=x
x=69.819027271585

now we have:
333.33 is 69.819027271585% of 477.42