What is 97.7 percent of 260 - 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 260 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 260 is 100%, so we can write it down as 260=100%.
4. We know, that x is 97.7% of the output value, so we can write it down as x=97.7%.
5. Now we have two simple equations:
1) 260=100%
2) x=97.7%
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:
260/x=100%/97.7%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 97.7% of 260

260/x=100/97.7
(260/x)*x=(100/97.7)*x       - we multiply both sides of the equation by x
260=1.0235414534289*x       - we divide both sides of the equation by (1.0235414534289) to get x
260/1.0235414534289=x
254.02=x
x=254.02

now we have:
97.7% of 260=254.02