30 is what percent of 6859.8459 - 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 6859.8459 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 6859.8459, so we can write it down as 100%=6859.8459.
4. We know, that x% equals 30 of the output value, so we can write it down as x%=30.
5. Now we have two simple equations:
1) 100%=6859.8459
2) x%=30
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%=6859.8459/30
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 30 is what percent of 6859.8459

100%/x%=6859.8459/30
(100/x)*x=(6859.8459/30)*x       - we multiply both sides of the equation by x
100=228.66153*x       - we divide both sides of the equation by (228.66153) to get x
100/228.66153=x
0.43732760819015=x
x=0.43732760819015

now we have:
30 is 0.43732760819015% of 6859.8459