28 is what percent of 200.7 - 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 200.7 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 200.7, so we can write it down as 100%=200.7.
4. We know, that x% equals 28 of the output value, so we can write it down as x%=28.
5. Now we have two simple equations:
1) 100%=200.7
2) x%=28
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%=200.7/28
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 28 is what percent of 200.7

100%/x%=200.7/28
(100/x)*x=(200.7/28)*x       - we multiply both sides of the equation by x
100=7.1678571428571*x       - we divide both sides of the equation by (7.1678571428571) to get x
100/7.1678571428571=x
13.951170901844=x
x=13.951170901844

now we have:
28 is 13.951170901844% of 200.7