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Solution for 260 is what percent of 1200:

260:1200*100 =

(260*100):1200 =

26000:1200 = 21.67

Now we have: 260 is what percent of 1200 = 21.67

Question: 260 is what percent of 1200?

Percentage solution with steps:

Step 1: We make the assumption that 1200 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\%}={1200}.

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

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

{100\%}={1200}(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{1200}{260}

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

\frac{x\%}{100\%}=\frac{260}{1200}

\Rightarrow{x} = {21.67\%}

Therefore, {260} is {21.67\%} of {1200}.

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Solution for 1200 is what percent of 260:

1200:260*100 =

(1200*100):260 =

120000:260 = 461.54

Now we have: 1200 is what percent of 260 = 461.54

Question: 1200 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\%}={1200}.

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

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

{x\%}={1200}(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}{1200}

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

\frac{x\%}{100\%}=\frac{1200}{260}

\Rightarrow{x} = {461.54\%}

Therefore, {1200} is {461.54\%} of {260}.