377.17 is what percent of 40.66 - 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 40.66 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 40.66, so we can write it down as 100%=40.66.
4. We know, that x% equals 377.17 of the output value, so we can write it down as x%=377.17.
5. Now we have two simple equations:
1) 100%=40.66
2) x%=377.17
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%=40.66/377.17
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 377.17 is what percent of 40.66

100%/x%=40.66/377.17
(100/x)*x=(40.66/377.17)*x       - we multiply both sides of the equation by x
100=0.10780284752234*x       - we divide both sides of the equation by (0.10780284752234) to get x
100/0.10780284752234=x
927.61928184948=x
x=927.61928184948

now we have:
377.17 is 927.61928184948% of 40.66