8/78 as a percentage is 10.26%. This rounded figure gives a quick sense of how large the part is compared to the whole.
The fraction 8/78 can be simplified to 4/39, but even in its original form it shows that 8 out of every 78 equal pieces are being considered. Seeing it as a percentage helps when you need to compare it to other values that are also expressed in percent.
In everyday situations, a result of about 10% can be useful for estimating shares, discounts, or probabilities. Knowing that 8/78 equals roughly 10.26% lets you communicate the size of the portion in a familiar format.