267.5 is what percent of 418 - 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 418 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 418, so we can write it down as 100%=418.
4. We know, that x% equals 267.5 of the output value, so we can write it down as x%=267.5.
5. Now we have two simple equations:
1) 100%=418
2) x%=267.5
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%=418/267.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 267.5 is what percent of 418

100%/x%=418/267.5
(100/x)*x=(418/267.5)*x       - we multiply both sides of the equation by x
100=1.5626168224299*x       - we divide both sides of the equation by (1.5626168224299) to get x
100/1.5626168224299=x
63.995215311005=x
x=63.995215311005

now we have:
267.5 is 63.995215311005% of 418