27 is what percent of 276.4 - 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 276.4 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 276.4, so we can write it down as 100%=276.4.
4. We know, that x% equals 27 of the output value, so we can write it down as x%=27.
5. Now we have two simple equations:
1) 100%=276.4
2) x%=27
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%=276.4/27
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 27 is what percent of 276.4

100%/x%=276.4/27
(100/x)*x=(276.4/27)*x       - we multiply both sides of the equation by x
100=10.237037037037*x       - we divide both sides of the equation by (10.237037037037) to get x
100/10.237037037037=x
9.7684515195369=x
x=9.7684515195369

now we have:
27 is 9.7684515195369% of 276.4