28.67 is what percent of 283.4 - 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 283.4 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 283.4, so we can write it down as 100%=283.4.
4. We know, that x% equals 28.67 of the output value, so we can write it down as x%=28.67.
5. Now we have two simple equations:
1) 100%=283.4
2) x%=28.67
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%=283.4/28.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 28.67 is what percent of 283.4

100%/x%=283.4/28.67
(100/x)*x=(283.4/28.67)*x       - we multiply both sides of the equation by x
100=9.8848971049878*x       - we divide both sides of the equation by (9.8848971049878) to get x
100/9.8848971049878=x
10.116443189838=x
x=10.116443189838

now we have:
28.67 is 10.116443189838% of 283.4