This can easily be accomplished by using JMP's ability to add virtual columns. Assuming your data table has a column that has the percentile value, such as below
txnelson_0-1690103273400.png
Then open Graph Builder and drag the percentile column to the X axis
txnelson_1-1690103403968.png
Next, a virtual count variable needs to be created. Right click on the Percentile column and select Formula
txnelson_2-1690103569452.png
Change the value of the formula from the original column( in my example Percentile), to just the number "1"
txnelson_3-1690103734530.png
If you right click on the Transform(percentile) column, you can select "Rename" and change the name to whatever you want. I chose the name "Count"
txnelson_4-1690103932811.png
Close this window and now drag the new virtual column to the Y axis
txnelson_5-1690104050903.png
Now go to the Points control section and change the Summary Statistic to N
txnelson_6-1690104201646.png
And then finally right click on the chart, and select Smoother>Remove
txnelson_7-1690104301722.png
And you will get the final graph
txnelson_8-1690104394475.png
Jim