What is 16 percent of 1266.57 - 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 1266.57 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 1266.57 is 100%, so we can write it down as 1266.57=100%.
4. We know, that x is 16% of the output value, so we can write it down as x=16%.
5. Now we have two simple equations:
1) 1266.57=100%
2) x=16%
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:
1266.57/x=100%/16%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 16% of 1266.57

1266.57/x=100/16
(1266.57/x)*x=(100/16)*x       - we multiply both sides of the equation by x
1266.57=6.25*x       - we divide both sides of the equation by (6.25) to get x
1266.57/6.25=x
202.6512=x
x=202.6512

now we have:
16% of 1266.57=202.6512