#### Solution for 238 is what percent of 258:

238:258*100 =

(238*100):258 =

23800:258 = 92.25

Now we have: 238 is what percent of 258 = 92.25

Question: 238 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\%}={238}.

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

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

{x\%}={238}(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}{238}

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

\frac{x\%}{100\%}=\frac{238}{258}

\Rightarrow{x} = {92.25\%}

Therefore, {238} is {92.25\%} of {258}.

#### Solution for 258 is what percent of 238:

258:238*100 =

(258*100):238 =

25800:238 = 108.4

Now we have: 258 is what percent of 238 = 108.4

Question: 258 is what percent of 238?

Percentage solution with steps:

Step 1: We make the assumption that 238 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\%}={238}.

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

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

{100\%}={238}(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{238}{258}

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

\frac{x\%}{100\%}=\frac{258}{238}

\Rightarrow{x} = {108.4\%}

Therefore, {258} is {108.4\%} of {238}.

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