#### Solution for 260 is what percent of 320:

260:320*100 =

(260*100):320 =

26000:320 = 81.25

Now we have: 260 is what percent of 320 = 81.25

Question: 260 is what percent of 320?

Percentage solution with steps:

Step 1: We make the assumption that 320 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\%}={320}.

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

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

{100\%}={320}(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{320}{260}

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

\frac{x\%}{100\%}=\frac{260}{320}

\Rightarrow{x} = {81.25\%}

Therefore, {260} is {81.25\%} of {320}.

#### Solution for 320 is what percent of 260:

320:260*100 =

(320*100):260 =

32000:260 = 123.08

Now we have: 320 is what percent of 260 = 123.08

Question: 320 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\%}={320}.

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

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

{x\%}={320}(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}{320}

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

\frac{x\%}{100\%}=\frac{320}{260}

\Rightarrow{x} = {123.08\%}

Therefore, {320} is {123.08\%} of {260}.

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