28.26 is what percent of 200.96 - 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 200.96 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 200.96, so we can write it down as 100%=200.96.
4. We know, that x% equals 28.26 of the output value, so we can write it down as x%=28.26.
5. Now we have two simple equations:
1) 100%=200.96
2) x%=28.26
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%=200.96/28.26
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 28.26 is what percent of 200.96

100%/x%=200.96/28.26
(100/x)*x=(200.96/28.26)*x       - we multiply both sides of the equation by x
100=7.1111111111111*x       - we divide both sides of the equation by (7.1111111111111) to get x
100/7.1111111111111=x
14.0625=x
x=14.0625

now we have:
28.26 is 14.0625% of 200.96