318.58 is what percent of 410.5 - 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 410.5 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 410.5, so we can write it down as 100%=410.5.
4. We know, that x% equals 318.58 of the output value, so we can write it down as x%=318.58.
5. Now we have two simple equations:
1) 100%=410.5
2) x%=318.58
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%=410.5/318.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 318.58 is what percent of 410.5

100%/x%=410.5/318.58
(100/x)*x=(410.5/318.58)*x       - we multiply both sides of the equation by x
100=1.2885303534434*x       - we divide both sides of the equation by (1.2885303534434) to get x
100/1.2885303534434=x
77.607795371498=x
x=77.607795371498

now we have:
318.58 is 77.607795371498% of 410.5