2.89 is what percent of 199.4 - 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 199.4 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 199.4, so we can write it down as 100%=199.4.
4. We know, that x% equals 2.89 of the output value, so we can write it down as x%=2.89.
5. Now we have two simple equations:
1) 100%=199.4
2) x%=2.89
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%=199.4/2.89
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.89 is what percent of 199.4

100%/x%=199.4/2.89
(100/x)*x=(199.4/2.89)*x       - we multiply both sides of the equation by x
100=68.9965397924*x       - we divide both sides of the equation by (68.9965397924) to get x
100/68.9965397924=x
1.44934804413=x
x=1.44934804413

now we have:
2.89 is 1.44934804413% of 199.4