28.45 is what percent of 207.74 - 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 207.74 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 207.74, so we can write it down as 100%=207.74.
4. We know, that x% equals 28.45 of the output value, so we can write it down as x%=28.45.
5. Now we have two simple equations:
1) 100%=207.74
2) x%=28.45
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%=207.74/28.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 28.45 is what percent of 207.74

100%/x%=207.74/28.45
(100/x)*x=(207.74/28.45)*x       - we multiply both sides of the equation by x
100=7.3019332161687*x       - we divide both sides of the equation by (7.3019332161687) to get x
100/7.3019332161687=x
13.695003369597=x
x=13.695003369597

now we have:
28.45 is 13.695003369597% of 207.74