133.33 is what percent of 166.66 - 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 166.66 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 166.66, so we can write it down as 100%=166.66.
4. We know, that x% equals 133.33 of the output value, so we can write it down as x%=133.33.
5. Now we have two simple equations:
1) 100%=166.66
2) x%=133.33
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%=166.66/133.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 133.33 is what percent of 166.66

100%/x%=166.66/133.33
(100/x)*x=(166.66/133.33)*x       - we multiply both sides of the equation by x
100=1.2499812495312*x       - we divide both sides of the equation by (1.2499812495312) to get x
100/1.2499812495312=x
80.001200048002=x
x=80.001200048002

now we have:
133.33 is 80.001200048002% of 166.66