287.9 is what percent of 350 - 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 350 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 350, so we can write it down as 100%=350.
4. We know, that x% equals 287.9 of the output value, so we can write it down as x%=287.9.
5. Now we have two simple equations:
1) 100%=350
2) x%=287.9
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%=350/287.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 287.9 is what percent of 350

100%/x%=350/287.9
(100/x)*x=(350/287.9)*x       - we multiply both sides of the equation by x
100=1.2156998957972*x       - we divide both sides of the equation by (1.2156998957972) to get x
100/1.2156998957972=x
82.257142857143=x
x=82.257142857143

now we have:
287.9 is 82.257142857143% of 350