#### Solution for 261 is what percent of 340:

261:340*100 =

(261*100):340 =

26100:340 = 76.76

Now we have: 261 is what percent of 340 = 76.76

Question: 261 is what percent of 340?

Percentage solution with steps:

Step 1: We make the assumption that 340 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\%}={340}.

Step 4: In the same vein, {x\%}={261}.

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

{100\%}={340}(1).

{x\%}={261}(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{340}{261}

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

\frac{x\%}{100\%}=\frac{261}{340}

\Rightarrow{x} = {76.76\%}

Therefore, {261} is {76.76\%} of {340}.

#### Solution for 340 is what percent of 261:

340:261*100 =

(340*100):261 =

34000:261 = 130.27

Now we have: 340 is what percent of 261 = 130.27

Question: 340 is what percent of 261?

Percentage solution with steps:

Step 1: We make the assumption that 261 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\%}={261}.

Step 4: In the same vein, {x\%}={340}.

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

{100\%}={261}(1).

{x\%}={340}(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{261}{340}

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

\frac{x\%}{100\%}=\frac{340}{261}

\Rightarrow{x} = {130.27\%}

Therefore, {340} is {130.27\%} of {261}.

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