Alter an image for a background

I have provided a logo that I want to be set into the background. (File is called Background concept) It needs to be muted enough to be written over, so it would be very close to the dark grey colour in the above file. I have provided an example of another background that has a similar effect - with hexagons in the background. I want the same type of background colouring but in the dark grey provided and the circle logo in the top corner as shown in the Background concept file.