#### Solution for 189.5 is what percent of 260:

189.5:260*100 =

(189.5*100):260 =

18950:260 = 72.884615384615

Now we have: 189.5 is what percent of 260 = 72.884615384615

Question: 189.5 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\%}={189.5}.

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

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

{x\%}={189.5}(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}{189.5}

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

\frac{x\%}{100\%}=\frac{189.5}{260}

\Rightarrow{x} = {72.884615384615\%}

Therefore, {189.5} is {72.884615384615\%} of {260}.

#### Solution for 260 is what percent of 189.5:

260:189.5*100 =

(260*100):189.5 =

26000:189.5 = 137.20316622691

Now we have: 260 is what percent of 189.5 = 137.20316622691

Question: 260 is what percent of 189.5?

Percentage solution with steps:

Step 1: We make the assumption that 189.5 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\%}={189.5}.

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

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

{100\%}={189.5}(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{189.5}{260}

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

\frac{x\%}{100\%}=\frac{260}{189.5}

\Rightarrow{x} = {137.20316622691\%}

Therefore, {260} is {137.20316622691\%} of {189.5}.

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