#### Solution for 185 is what percent of 260:

185:260*100 =

(185*100):260 =

18500:260 = 71.15

Now we have: 185 is what percent of 260 = 71.15

Question: 185 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\%}={185}.

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

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

{x\%}={185}(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}{185}

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

\frac{x\%}{100\%}=\frac{185}{260}

\Rightarrow{x} = {71.15\%}

Therefore, {185} is {71.15\%} of {260}.

#### Solution for 260 is what percent of 185:

260:185*100 =

(260*100):185 =

26000:185 = 140.54

Now we have: 260 is what percent of 185 = 140.54

Question: 260 is what percent of 185?

Percentage solution with steps:

Step 1: We make the assumption that 185 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\%}={185}.

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

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

{100\%}={185}(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{185}{260}

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

\frac{x\%}{100\%}=\frac{260}{185}

\Rightarrow{x} = {140.54\%}

Therefore, {260} is {140.54\%} of {185}.

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