1. Write the ratio as a percent by using a proportion and then find the percent which is equivalent to the given ratio. Round to the nearest percent.
7 out of $13=$ $\mathrm{\%}$

Step 1 ：Write the ratio as a percent by using a proportion and then find the percent which is equivalent to the given ratio. Round to the nearest percent.

Step 2 ：Given ratio is 7 out of 13.

Step 3 ：To find the percentage equivalent of the ratio 7 out of 13, we need to divide 7 by 13 and then multiply the result by 100. This will give us the percentage equivalent of the ratio.

Step 4 ：Performing the calculation gives a ratio of $0.5384615384615384$

Step 5 ：Converting this ratio to a percentage gives $53.84615384615385\mathrm{\%}$

Step 6 ：Rounding this to the nearest percent gives $54\mathrm{\%}$

Step 7 ：Final Answer: The percentage equivalent of the ratio 7 out of 13, rounded to the nearest percent, is $\boxed{{\displaystyle 54\mathrm{\%}}}$