The easiest way to figure out this or just about any other unit conversion problem is to convert the units you are changing first. In this case, 1 yard is only 0.9144 meters and therefore 100 yards is only 91.44 meters.
The unit you are NOT changing is the second so now you can set up a ratio:
9.52 seconds / 100 meters x 0.9144 meters / 1 yard = (9.52 * 0.9144) seconds / yard
which is 8.76 seconds when rounded to the same number of significant digits.
NOTE: What you asked for is merely a conversion and as such it is imperfect. Had the race actually been only 100 yards (which is 8.56 meters or just over 28 feet shorter), the runners could have decided to use different strategies and their speeds would then be very different.
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8.7599513 seconds it would take Mr. Bolt to run 100 years if he ran at the same speed he did in his recent 100 meter race. Pretty amazing.
100 meters is 109.36133 yards
109.36133 yards is to 9.58
as
100 yards is to X
1609.34 meters/mile
1609.34 /100 = 16.0934 100 meter runs in a mile
9.58*16.0934 = 154.174772 seconds to run a mile
3600 seconds in an hour
3600/154.174772 = 23.35 MPH
A 9.6 second time in the 100 yard dash is the same as running the 100 meters in 10.5 seconds.