Yes, it is normal to have floaters in eyes. For those who've never experienced this phenomenon like you, eye floaters are little oddly shaped objects that appear in your vision, and it makes you feel terrible but it is just very normal. It often occurs when one looks at bright light such as a blue sky. Their shapes vary greatly, but will often appear as spots, cobwebs, or randomly shaped stringy objects. For the cause, you should know that any eye condition in which the clarity of the vitreous humor is altered can produce the symptom of eye floaters. Eye floaters are associated with the retinopathy of retinal tears, retinal detachment, and large degrees of nearsightedness. So for your situation, I suggest you should go and see a doctor as soon as possible.