2.75 is what percent of 27.4 - 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 27.4 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 27.4, so we can write it down as 100%=27.4.
4. We know, that x% equals 2.75 of the output value, so we can write it down as x%=2.75.
5. Now we have two simple equations:
1) 100%=27.4
2) x%=2.75
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%=27.4/2.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.75 is what percent of 27.4

100%/x%=27.4/2.75
(100/x)*x=(27.4/2.75)*x       - we multiply both sides of the equation by x
100=9.9636363636364*x       - we divide both sides of the equation by (9.9636363636364) to get x
100/9.9636363636364=x
10.036496350365=x
x=10.036496350365

now we have:
2.75 is 10.036496350365% of 27.4