533.33 is what percent of 666.67 - 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 666.67 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 666.67, so we can write it down as 100%=666.67.
4. We know, that x% equals 533.33 of the output value, so we can write it down as x%=533.33.
5. Now we have two simple equations:
1) 100%=666.67
2) x%=533.33
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%=666.67/533.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 533.33 is what percent of 666.67

100%/x%=666.67/533.33
(100/x)*x=(666.67/533.33)*x       - we multiply both sides of the equation by x
100=1.2500140625879*x       - we divide both sides of the equation by (1.2500140625879) to get x
100/1.2500140625879=x
79.9991000045=x
x=79.9991000045

now we have:
533.33 is 79.9991000045% of 666.67