162.41 is what percent of 1994 - 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 1994 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 1994, so we can write it down as 100%=1994.
4. We know, that x% equals 162.41 of the output value, so we can write it down as x%=162.41.
5. Now we have two simple equations:
1) 100%=1994
2) x%=162.41
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%=1994/162.41
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 162.41 is what percent of 1994

100%/x%=1994/162.41
(100/x)*x=(1994/162.41)*x       - we multiply both sides of the equation by x
100=12.277569115202*x       - we divide both sides of the equation by (12.277569115202) to get x
100/12.277569115202=x
8.1449348044132=x
x=8.1449348044132

now we have:
162.41 is 8.1449348044132% of 1994