2.09 is what percent of 257.89 - 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 257.89 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 257.89, so we can write it down as 100%=257.89.
4. We know, that x% equals 2.09 of the output value, so we can write it down as x%=2.09.
5. Now we have two simple equations:
1) 100%=257.89
2) x%=2.09
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%=257.89/2.09
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.09 is what percent of 257.89

100%/x%=257.89/2.09
(100/x)*x=(257.89/2.09)*x       - we multiply both sides of the equation by x
100=123.39234449761*x       - we divide both sides of the equation by (123.39234449761) to get x
100/123.39234449761=x
0.81042304858661=x
x=0.81042304858661

now we have:
2.09 is 0.81042304858661% of 257.89