226.78 is what percent of 268 - 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 268 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 268, so we can write it down as 100%=268.
4. We know, that x% equals 226.78 of the output value, so we can write it down as x%=226.78.
5. Now we have two simple equations:
1) 100%=268
2) x%=226.78
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%=268/226.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 226.78 is what percent of 268

100%/x%=268/226.78
(100/x)*x=(268/226.78)*x       - we multiply both sides of the equation by x
100=1.1817620601464*x       - we divide both sides of the equation by (1.1817620601464) to get x
100/1.1817620601464=x
84.619402985075=x
x=84.619402985075

now we have:
226.78 is 84.619402985075% of 268