386.79 is what percent of 505.99 - 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 505.99 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 505.99, so we can write it down as 100%=505.99.
4. We know, that x% equals 386.79 of the output value, so we can write it down as x%=386.79.
5. Now we have two simple equations:
1) 100%=505.99
2) x%=386.79
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%=505.99/386.79
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 386.79 is what percent of 505.99

100%/x%=505.99/386.79
(100/x)*x=(505.99/386.79)*x       - we multiply both sides of the equation by x
100=1.3081775640528*x       - we divide both sides of the equation by (1.3081775640528) to get x
100/1.3081775640528=x
76.442222178304=x
x=76.442222178304

now we have:
386.79 is 76.442222178304% of 505.99