159.44 is what percent of 161.23 - 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 161.23 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 161.23, so we can write it down as 100%=161.23.
4. We know, that x% equals 159.44 of the output value, so we can write it down as x%=159.44.
5. Now we have two simple equations:
1) 100%=161.23
2) x%=159.44
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%=161.23/159.44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 159.44 is what percent of 161.23

100%/x%=161.23/159.44
(100/x)*x=(161.23/159.44)*x       - we multiply both sides of the equation by x
100=1.0112267937782*x       - we divide both sides of the equation by (1.0112267937782) to get x
100/1.0112267937782=x
98.889784779508=x
x=98.889784779508

now we have:
159.44 is 98.889784779508% of 161.23