27 is what percent of 880 - 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 880 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 880, so we can write it down as 100%=880.
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%=880
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%=880/27
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 880

100%/x%=880/27
(100/x)*x=(880/27)*x       - we multiply both sides of the equation by x
100=32.5925925926*x       - we divide both sides of the equation by (32.5925925926) to get x
100/32.5925925926=x
3.06818181818=x
x=3.06818181818

now we have:
27 is 3.06818181818% of 880