277.45 is what percent of 1202.28 - 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 1202.28 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 1202.28, so we can write it down as 100%=1202.28.
4. We know, that x% equals 277.45 of the output value, so we can write it down as x%=277.45.
5. Now we have two simple equations:
1) 100%=1202.28
2) x%=277.45
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%=1202.28/277.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 277.45 is what percent of 1202.28

100%/x%=1202.28/277.45
(100/x)*x=(1202.28/277.45)*x       - we multiply both sides of the equation by x
100=4.3333213191566*x       - we divide both sides of the equation by (4.3333213191566) to get x
100/4.3333213191566=x
23.076987057923=x
x=23.076987057923

now we have:
277.45 is 23.076987057923% of 1202.28