339.5 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 339.5 of the output value, so we can write it down as x%=339.5.
5. Now we have two simple equations:
1) 100%=410
2) x%=339.5
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%=410/339.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 339.5 is what percent of 410

100%/x%=410/339.5
(100/x)*x=(410/339.5)*x       - we multiply both sides of the equation by x
100=1.2076583210604*x       - we divide both sides of the equation by (1.2076583210604) to get x
100/1.2076583210604=x
82.80487804878=x
x=82.80487804878

now we have:
339.5 is 82.80487804878% of 410