155.22 is what percent of 2000 - 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 2000 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 2000, so we can write it down as 100%=2000.
4. We know, that x% equals 155.22 of the output value, so we can write it down as x%=155.22.
5. Now we have two simple equations:
1) 100%=2000
2) x%=155.22
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%=2000/155.22
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 155.22 is what percent of 2000

100%/x%=2000/155.22
(100/x)*x=(2000/155.22)*x       - we multiply both sides of the equation by x
100=12.884937508053*x       - we divide both sides of the equation by (12.884937508053) to get x
100/12.884937508053=x
7.761=x
x=7.761

now we have:
155.22 is 7.761% of 2000