261.38 is what percent of 273.1 - 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 273.1 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 273.1, so we can write it down as 100%=273.1.
4. We know, that x% equals 261.38 of the output value, so we can write it down as x%=261.38.
5. Now we have two simple equations:
1) 100%=273.1
2) x%=261.38
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%=273.1/261.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 261.38 is what percent of 273.1

100%/x%=273.1/261.38
(100/x)*x=(273.1/261.38)*x       - we multiply both sides of the equation by x
100=1.0448389318234*x       - we divide both sides of the equation by (1.0448389318234) to get x
100/1.0448389318234=x
95.70853167338=x
x=95.70853167338

now we have:
261.38 is 95.70853167338% of 273.1