6.67 is what percent of 54.85 - 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 54.85 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 54.85, so we can write it down as 100%=54.85.
4. We know, that x% equals 6.67 of the output value, so we can write it down as x%=6.67.
5. Now we have two simple equations:
1) 100%=54.85
2) x%=6.67
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%=54.85/6.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.67 is what percent of 54.85

100%/x%=54.85/6.67
(100/x)*x=(54.85/6.67)*x       - we multiply both sides of the equation by x
100=8.2233883058471*x       - we divide both sides of the equation by (8.2233883058471) to get x
100/8.2233883058471=x
12.160437556974=x
x=12.160437556974

now we have:
6.67 is 12.160437556974% of 54.85