666.67 is what percent of 0.3333 - 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 0.3333 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 0.3333, so we can write it down as 100%=0.3333.
4. We know, that x% equals 666.67 of the output value, so we can write it down as x%=666.67.
5. Now we have two simple equations:
1) 100%=0.3333
2) x%=666.67
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%=0.3333/666.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 666.67 is what percent of 0.3333

100%/x%=0.3333/666.67
(100/x)*x=(0.3333/666.67)*x       - we multiply both sides of the equation by x
100=0.0004999475002625*x       - we divide both sides of the equation by (0.0004999475002625) to get x
100/0.0004999475002625=x
200021.00210021=x
x=200021.00210021

now we have:
666.67 is 200021.00210021% of 0.3333