67.75 is what percent of 4040 - 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 4040 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 4040, so we can write it down as 100%=4040.
4. We know, that x% equals 67.75 of the output value, so we can write it down as x%=67.75.
5. Now we have two simple equations:
1) 100%=4040
2) x%=67.75
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%=4040/67.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 67.75 is what percent of 4040

100%/x%=4040/67.75
(100/x)*x=(4040/67.75)*x       - we multiply both sides of the equation by x
100=59.630996309963*x       - we divide both sides of the equation by (59.630996309963) to get x
100/59.630996309963=x
1.6769801980198=x
x=1.6769801980198

now we have:
67.75 is 1.6769801980198% of 4040