66.78 is what percent of 1228.5 - 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 1228.5 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 1228.5, so we can write it down as 100%=1228.5.
4. We know, that x% equals 66.78 of the output value, so we can write it down as x%=66.78.
5. Now we have two simple equations:
1) 100%=1228.5
2) x%=66.78
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%=1228.5/66.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 66.78 is what percent of 1228.5

100%/x%=1228.5/66.78
(100/x)*x=(1228.5/66.78)*x       - we multiply both sides of the equation by x
100=18.396226415094*x       - we divide both sides of the equation by (18.396226415094) to get x
100/18.396226415094=x
5.4358974358974=x
x=5.4358974358974

now we have:
66.78 is 5.4358974358974% of 1228.5