What is 266.66666666667 percent of 345 - 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 345 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 345 is 100%, so we can write it down as 345=100%.
4. We know, that x is 266.66666666667% of the output value, so we can write it down as x=266.66666666667%.
5. Now we have two simple equations:
1) 345=100%
2) x=266.66666666667%
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:
345/x=100%/266.66666666667%
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 266.66666666667% of 345

345/x=100/266.66666666667
(345/x)*x=(100/266.66666666667)*x       - we multiply both sides of the equation by x
345=0.375*x       - we divide both sides of the equation by (0.375) to get x
345/0.375=x
920.00000000001=x
x=920.00000000001

now we have:
266.66666666667% of 345=920.00000000001