26.44 is what percent of 27.101 - 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 27.101 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 27.101, so we can write it down as 100%=27.101.
4. We know, that x% equals 26.44 of the output value, so we can write it down as x%=26.44.
5. Now we have two simple equations:
1) 100%=27.101
2) x%=26.44
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%=27.101/26.44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 26.44 is what percent of 27.101

100%/x%=27.101/26.44
(100/x)*x=(27.101/26.44)*x       - we multiply both sides of the equation by x
100=1.025*x       - we divide both sides of the equation by (1.025) to get x
100/1.025=x
97.560975609756=x
x=97.560975609756

now we have:
26.44 is 97.560975609756% of 27.101