It's the same work space color on both programs?
In Photoshop Pantone solid inks are always defined as Lab. If you apply the color to a CMYK image the CMYK values you get are a conversion from the Lab color to CMYK, and they would depend on the assigned CMYK profile.
With InDesign it depends on what version you are using. Prior to CS6 you could choose whether you wanted a predefined, device dependent CMYK mix to display the solid ink color (your 85|0|54|52 value), or a Lab definition (same as Photoshop). You can choose via Use Standard Lab Values for Spots in Ink Manager. In CS6 you no longer have a choice, Pantone spot colors are always displayed as Lab and the conversion to a process color depends on the document CMYK profile.