334.2 is what percent of 283 - 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 283 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 283, so we can write it down as 100%=283.
4. We know, that x% equals 334.2 of the output value, so we can write it down as x%=334.2.
5. Now we have two simple equations:
1) 100%=283
2) x%=334.2
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%=283/334.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 334.2 is what percent of 283

100%/x%=283/334.2
(100/x)*x=(283/334.2)*x       - we multiply both sides of the equation by x
100=0.84679832435667*x       - we divide both sides of the equation by (0.84679832435667) to get x
100/0.84679832435667=x
118.09187279152=x
x=118.09187279152

now we have:
334.2 is 118.09187279152% of 283