338.4 is what percent of 282 - 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 282 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 282, so we can write it down as 100%=282.
4. We know, that x% equals 338.4 of the output value, so we can write it down as x%=338.4.
5. Now we have two simple equations:
1) 100%=282
2) x%=338.4
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%=282/338.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 338.4 is what percent of 282

100%/x%=282/338.4
(100/x)*x=(282/338.4)*x       - we multiply both sides of the equation by x
100=0.83333333333333*x       - we divide both sides of the equation by (0.83333333333333) to get x
100/0.83333333333333=x
120=x
x=120

now we have:
338.4 is 120% of 282