#### Solution for 258 is what percent of 302:

258:302*100 =

(258*100):302 =

25800:302 = 85.43

Now we have: 258 is what percent of 302 = 85.43

Question: 258 is what percent of 302?

Percentage solution with steps:

Step 1: We make the assumption that 302 is 100% since it is our output value.

Step 2: We next represent the value we seek with {x}.

Step 3: From step 1, it follows that {100\%}={302}.

Step 4: In the same vein, {x\%}={258}.

Step 5: This gives us a pair of simple equations:

{100\%}={302}(1).

{x\%}={258}(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have

\frac{100\%}{x\%}=\frac{302}{258}

Step 7: Taking the inverse (or reciprocal) of both sides yields

\frac{x\%}{100\%}=\frac{258}{302}

\Rightarrow{x} = {85.43\%}

Therefore, {258} is {85.43\%} of {302}.

#### Solution for 302 is what percent of 258:

302:258*100 =

(302*100):258 =

30200:258 = 117.05

Now we have: 302 is what percent of 258 = 117.05

Question: 302 is what percent of 258?

Percentage solution with steps:

Step 1: We make the assumption that 258 is 100% since it is our output value.

Step 2: We next represent the value we seek with {x}.

Step 3: From step 1, it follows that {100\%}={258}.

Step 4: In the same vein, {x\%}={302}.

Step 5: This gives us a pair of simple equations:

{100\%}={258}(1).

{x\%}={302}(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have

\frac{100\%}{x\%}=\frac{258}{302}

Step 7: Taking the inverse (or reciprocal) of both sides yields

\frac{x\%}{100\%}=\frac{302}{258}

\Rightarrow{x} = {117.05\%}

Therefore, {302} is {117.05\%} of {258}.

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