276.75 is what percent of 15.5 - 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 15.5 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 15.5, so we can write it down as 100%=15.5.
4. We know, that x% equals 276.75 of the output value, so we can write it down as x%=276.75.
5. Now we have two simple equations:
1) 100%=15.5
2) x%=276.75
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%=15.5/276.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 276.75 is what percent of 15.5

100%/x%=15.5/276.75
(100/x)*x=(15.5/276.75)*x       - we multiply both sides of the equation by x
100=0.056007226738934*x       - we divide both sides of the equation by (0.056007226738934) to get x
100/0.056007226738934=x
1785.4838709677=x
x=1785.4838709677

now we have:
276.75 is 1785.4838709677% of 15.5