What is 266.6 percent of 100 - 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 100 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 is 100%, so we can write it down as 100=100%.
4. We know, that x is 266.6% of the output value, so we can write it down as x=266.6%.
5. Now we have two simple equations:
1) 100=100%
2) x=266.6%
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=100%/266.6%
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 266.6% of 100

100/x=100/266.6
(100/x)*x=(100/266.6)*x       - we multiply both sides of the equation by x
100=0.37509377344336*x       - we divide both sides of the equation by (0.37509377344336) to get x
100/0.37509377344336=x
266.6=x
x=266.6

now we have:
266.6% of 100=266.6