279.5 is what percent of 368 - 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 368 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 368, so we can write it down as 100%=368.
4. We know, that x% equals 279.5 of the output value, so we can write it down as x%=279.5.
5. Now we have two simple equations:
1) 100%=368
2) x%=279.5
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%=368/279.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 279.5 is what percent of 368

100%/x%=368/279.5
(100/x)*x=(368/279.5)*x       - we multiply both sides of the equation by x
100=1.3166368515206*x       - we divide both sides of the equation by (1.3166368515206) to get x
100/1.3166368515206=x
75.951086956522=x
x=75.951086956522

now we have:
279.5 is 75.951086956522% of 368