We will assume that there are only men and women present. Per cent is a ratio - it describes the amount "per hundred". So if 61% are men, the remainder must be women. The remainder can be calculated by taking the whole (100%) and taking away the amount we know are men (61%) 100% - 61% = 39%. To work out the percentage, multiply by the ratio amount and then divide by 100.
3400 * 39 / 100
We can simplify this straight away because the 3400 can cancel out the divide by 100 to give us 34.