What is 5800 percent of 0.51 - 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 0.51 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 0.51 is 100%, so we can write it down as 0.51=100%.
4. We know, that x is 5800% of the output value, so we can write it down as x=5800%.
5. Now we have two simple equations:
1) 0.51=100%
2) x=5800%
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:
0.51/x=100%/5800%
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 5800% of 0.51

0.51/x=100/5800
(0.51/x)*x=(100/5800)*x       - we multiply both sides of the equation by x
0.51=0.017241379310345*x       - we divide both sides of the equation by (0.017241379310345) to get x
0.51/0.017241379310345=x
29.58=x
x=29.58

now we have:
5800% of 0.51=29.58