266.97 is what percent of 4449.56 - 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 4449.56 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 4449.56, so we can write it down as 100%=4449.56.
4. We know, that x% equals 266.97 of the output value, so we can write it down as x%=266.97.
5. Now we have two simple equations:
1) 100%=4449.56
2) x%=266.97
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%=4449.56/266.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 266.97 is what percent of 4449.56

100%/x%=4449.56/266.97
(100/x)*x=(4449.56/266.97)*x       - we multiply both sides of the equation by x
100=16.66689141102*x       - we divide both sides of the equation by (16.66689141102) to get x
100/16.66689141102=x
5.9999190931238=x
x=5.9999190931238

now we have:
266.97 is 5.9999190931238% of 4449.56