5.6 is what percent of 260000 - 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 260000 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 260000, so we can write it down as 100%=260000.
4. We know, that x% equals 5.6 of the output value, so we can write it down as x%=5.6.
5. Now we have two simple equations:
1) 100%=260000
2) x%=5.6
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%=260000/5.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.6 is what percent of 260000

100%/x%=260000/5.6
(100/x)*x=(260000/5.6)*x       - we multiply both sides of the equation by x
100=46428.571428571*x       - we divide both sides of the equation by (46428.571428571) to get x
100/46428.571428571=x
0.0021538461538462=x
x=0.0021538461538462

now we have:
5.6 is 0.0021538461538462% of 260000