It's easier to get a best match from CMYK to HEX than the opposite, and make sure your client understand there will never be an exact match but only a close one.
The suggested CMYK equivalent is a bit "rough" and not always precise. It will suggest you an equivalent by comparing the 2 color gamut mathematically but it's never precise. It's better to find a similar match by using your own eyes, printed charts and the CMYK values. The colors will always look different on every screen you'll look at, that's also why you cannot expect to have a perfect match.
But if you need to select a color in CMYK based on a web color, the best is to use a Pantones color chart and select your color there, and use that color converted to CMYK instead.
In this case, your blue looks like a Pantone 286 on coated and 293 on uncoated. Photoshop suggests Pantone 7690.
One way to see your colors well is to use Photoshop and compare them. I used the correspondant CMYK you mentioned and your HEX, and compared them. They are truly different.
I suggest to ignore the equivalent online and use Photoshop in this way instead:
You will notice:
There is a little square next to the 2 swatches above; this
represents the gamut the CMYK can print and the closest match. It is
suggesting you a similar blue to the one you got online and it
doesn't look right.
You can also see the option "color libraries"; that's where you'll
find the Pantones equivalent to the recipe that is active. Click it.
If the color on the top swatch matches well the one on the bottom swatch, go back to the previous screen by clicking "picker."
You will notice a new HEX value and a new CMYK value. Ignore the HEX value. You will use that new CMYK value instead; it's the value of the Pantone the closest to your HEX value, converted to CMYK.
If you want to see if these 2 colors are very close to each others, enter your HEX value #0074aa in the HEX field; the color of the swatch on top and bottom should be closer. You can adjust your CMYK if you need to by modifying the CMYK values.
This is not a perfect method, it's better to simply use a Pantones color swatch and put it next to your color on your display, as archaic
as it may sound! But it's still a good way to get a better result
than simply using the rough conversion from HEX to CMYK.
You could also simply use the color CMYK version your Photoshop gives you for the HEX value, but the advantage of using a Pantone is you can actually see the result already printed on a coated/uncoated paper.
If you go meet your printer, you can ask him to have a look at their Process pantones chart; the CMYK values are written on them! Bring your laptop and stick the color chart on the display until you find a good match. If you plan to print in CMYK, you should use the CMYK side of the chart.
Also, you should try to NOT use decimal in your color recipe.
Source image Pantone Porcess Chart: printcatalogs.com