#### Solution for 260 is what percent of 448:

260:448*100 =

(260*100):448 =

26000:448 = 58.04

Now we have: 260 is what percent of 448 = 58.04

Question: 260 is what percent of 448?

Percentage solution with steps:

Step 1: We make the assumption that 448 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\%}={448}.

Step 4: In the same vein, {x\%}={260}.

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

{100\%}={448}(1).

{x\%}={260}(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{448}{260}

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

\frac{x\%}{100\%}=\frac{260}{448}

\Rightarrow{x} = {58.04\%}

Therefore, {260} is {58.04\%} of {448}.

#### Solution for 448 is what percent of 260:

448:260*100 =

(448*100):260 =

44800:260 = 172.31

Now we have: 448 is what percent of 260 = 172.31

Question: 448 is what percent of 260?

Percentage solution with steps:

Step 1: We make the assumption that 260 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\%}={260}.

Step 4: In the same vein, {x\%}={448}.

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

{100\%}={260}(1).

{x\%}={448}(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{260}{448}

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

\frac{x\%}{100\%}=\frac{448}{260}

\Rightarrow{x} = {172.31\%}

Therefore, {448} is {172.31\%} of {260}.

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