308.2 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 308.2 of the output value, so we can write it down as x%=308.2.
5. Now we have two simple equations:
1) 100%=350
2) x%=308.2
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%=350/308.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 308.2 is what percent of 350

100%/x%=350/308.2
(100/x)*x=(350/308.2)*x       - we multiply both sides of the equation by x
100=1.1356262167424*x       - we divide both sides of the equation by (1.1356262167424) to get x
100/1.1356262167424=x
88.057142857143=x
x=88.057142857143

now we have:
308.2 is 88.057142857143% of 350