What is 2.58 percent of 262 - 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 262 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 262 is 100%, so we can write it down as 262=100%.
4. We know, that x is 2.58% of the output value, so we can write it down as x=2.58%.
5. Now we have two simple equations:
1) 262=100%
2) x=2.58%
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:
262/x=100%/2.58%
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 2.58% of 262

262/x=100/2.58
(262/x)*x=(100/2.58)*x       - we multiply both sides of the equation by x
262=38.759689922481*x       - we divide both sides of the equation by (38.759689922481) to get x
262/38.759689922481=x
6.7596=x
x=6.7596

now we have:
2.58% of 262=6.7596