What is 40.2 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 268 is 100%, so we can write it down as 268=100%.
4. We know, that x is 40.2% of the output value, so we can write it down as x=40.2%.
5. Now we have two simple equations:
1) 268=100%
2) x=40.2%
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:
268/x=100%/40.2%
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 40.2% of 268

268/x=100/40.2
(268/x)*x=(100/40.2)*x       - we multiply both sides of the equation by x
268=2.4875621890547*x       - we divide both sides of the equation by (2.4875621890547) to get x
268/2.4875621890547=x
107.736=x
x=107.736

now we have:
40.2% of 268=107.736