28.64 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 28.64 of the output value, so we can write it down as x%=28.64.
5. Now we have two simple equations:
1) 100%=283
2) x%=28.64
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%=283/28.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 28.64 is what percent of 283

100%/x%=283/28.64
(100/x)*x=(283/28.64)*x       - we multiply both sides of the equation by x
100=9.8812849162011*x       - we divide both sides of the equation by (9.8812849162011) to get x
100/9.8812849162011=x
10.120141342756=x
x=10.120141342756

now we have:
28.64 is 10.120141342756% of 283