268.35 is what percent of 375.95 - 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 375.95 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 375.95, so we can write it down as 100%=375.95.
4. We know, that x% equals 268.35 of the output value, so we can write it down as x%=268.35.
5. Now we have two simple equations:
1) 100%=375.95
2) x%=268.35
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%=375.95/268.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 268.35 is what percent of 375.95

100%/x%=375.95/268.35
(100/x)*x=(375.95/268.35)*x       - we multiply both sides of the equation by x
100=1.4009688839203*x       - we divide both sides of the equation by (1.4009688839203) to get x
100/1.4009688839203=x
71.379172762335=x
x=71.379172762335

now we have:
268.35 is 71.379172762335% of 375.95