261.05 is what percent of 265.8 - 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 265.8 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 265.8, so we can write it down as 100%=265.8.
4. We know, that x% equals 261.05 of the output value, so we can write it down as x%=261.05.
5. Now we have two simple equations:
1) 100%=265.8
2) x%=261.05
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%=265.8/261.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 261.05 is what percent of 265.8

100%/x%=265.8/261.05
(100/x)*x=(265.8/261.05)*x       - we multiply both sides of the equation by x
100=1.018195747941*x       - we divide both sides of the equation by (1.018195747941) to get x
100/1.018195747941=x
98.212942061701=x
x=98.212942061701

now we have:
261.05 is 98.212942061701% of 265.8