159.23 is what percent of 165724.11 - 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 165724.11 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 165724.11, so we can write it down as 100%=165724.11.
4. We know, that x% equals 159.23 of the output value, so we can write it down as x%=159.23.
5. Now we have two simple equations:
1) 100%=165724.11
2) x%=159.23
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%=165724.11/159.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 159.23 is what percent of 165724.11

100%/x%=165724.11/159.23
(100/x)*x=(165724.11/159.23)*x       - we multiply both sides of the equation by x
100=1040.7844627269*x       - we divide both sides of the equation by (1040.7844627269) to get x
100/1040.7844627269=x
0.096081372831026=x
x=0.096081372831026

now we have:
159.23 is 0.096081372831026% of 165724.11