279.39 is what percent of 104.77 - 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 104.77 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 104.77, so we can write it down as 100%=104.77.
4. We know, that x% equals 279.39 of the output value, so we can write it down as x%=279.39.
5. Now we have two simple equations:
1) 100%=104.77
2) x%=279.39
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%=104.77/279.39
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 279.39 is what percent of 104.77

100%/x%=104.77/279.39
(100/x)*x=(104.77/279.39)*x       - we multiply both sides of the equation by x
100=0.37499552596729*x       - we divide both sides of the equation by (0.37499552596729) to get x
100/0.37499552596729=x
266.669848239=x
x=266.669848239

now we have:
279.39 is 266.669848239% of 104.77