27.9 is what percent of 49 - 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 49 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 49, so we can write it down as 100%=49.
4. We know, that x% equals 27.9 of the output value, so we can write it down as x%=27.9.
5. Now we have two simple equations:
1) 100%=49
2) x%=27.9
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%=49/27.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 27.9 is what percent of 49

100%/x%=49/27.9
(100/x)*x=(49/27.9)*x       - we multiply both sides of the equation by x
100=1.7562724014337*x       - we divide both sides of the equation by (1.7562724014337) to get x
100/1.7562724014337=x
56.938775510204=x
x=56.938775510204

now we have:
27.9 is 56.938775510204% of 49