316.75 is what percent of 410 - 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 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, so we can write it down as 100%=410.
4. We know, that x% equals 316.75 of the output value, so we can write it down as x%=316.75.
5. Now we have two simple equations:
1) 100%=410
2) x%=316.75
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%=410/316.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 316.75 is what percent of 410

100%/x%=410/316.75
(100/x)*x=(410/316.75)*x       - we multiply both sides of the equation by x
100=1.2943962115233*x       - we divide both sides of the equation by (1.2943962115233) to get x
100/1.2943962115233=x
77.256097560976=x
x=77.256097560976

now we have:
316.75 is 77.256097560976% of 410