366.8 is what percent of 500 - 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 500 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 500, so we can write it down as 100%=500.
4. We know, that x% equals 366.8 of the output value, so we can write it down as x%=366.8.
5. Now we have two simple equations:
1) 100%=500
2) x%=366.8
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%=500/366.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 366.8 is what percent of 500

100%/x%=500/366.8
(100/x)*x=(500/366.8)*x       - we multiply both sides of the equation by x
100=1.3631406761178*x       - we divide both sides of the equation by (1.3631406761178) to get x
100/1.3631406761178=x
73.36=x
x=73.36

now we have:
366.8 is 73.36% of 500