268.43 is what percent of 675 - 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 675 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 675, so we can write it down as 100%=675.
4. We know, that x% equals 268.43 of the output value, so we can write it down as x%=268.43.
5. Now we have two simple equations:
1) 100%=675
2) x%=268.43
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%=675/268.43
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 268.43 is what percent of 675

100%/x%=675/268.43
(100/x)*x=(675/268.43)*x       - we multiply both sides of the equation by x
100=2.5146220616176*x       - we divide both sides of the equation by (2.5146220616176) to get x
100/2.5146220616176=x
39.767407407407=x
x=39.767407407407

now we have:
268.43 is 39.767407407407% of 675