155.74 is what percent of 6 - 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 6 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 6, so we can write it down as 100%=6.
4. We know, that x% equals 155.74 of the output value, so we can write it down as x%=155.74.
5. Now we have two simple equations:
1) 100%=6
2) x%=155.74
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%=6/155.74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 155.74 is what percent of 6

100%/x%=6/155.74
(100/x)*x=(6/155.74)*x       - we multiply both sides of the equation by x
100=0.038525748041608*x       - we divide both sides of the equation by (0.038525748041608) to get x
100/0.038525748041608=x
2595.6666666667=x
x=2595.6666666667

now we have:
155.74 is 2595.6666666667% of 6