167.46 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 167.46 of the output value, so we can write it down as x%=167.46.
5. Now we have two simple equations:
1) 100%=2000
2) x%=167.46
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%=2000/167.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 167.46 is what percent of 2000

100%/x%=2000/167.46
(100/x)*x=(2000/167.46)*x       - we multiply both sides of the equation by x
100=11.943150603129*x       - we divide both sides of the equation by (11.943150603129) to get x
100/11.943150603129=x
8.373=x
x=8.373

now we have:
167.46 is 8.373% of 2000