What is 26.47 percent of 2.58 - 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 2.58 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 2.58 is 100%, so we can write it down as 2.58=100%.
4. We know, that x is 26.47% of the output value, so we can write it down as x=26.47%.
5. Now we have two simple equations:
1) 2.58=100%
2) x=26.47%
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:
2.58/x=100%/26.47%
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 26.47% of 2.58

2.58/x=100/26.47
(2.58/x)*x=(100/26.47)*x       - we multiply both sides of the equation by x
2.58=3.7778617302607*x       - we divide both sides of the equation by (3.7778617302607) to get x
2.58/3.7778617302607=x
0.682926=x
x=0.682926

now we have:
26.47% of 2.58=0.682926