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Solution for 275 is what percent of 1300:

275:1300*100 =

(275*100):1300 =

27500:1300 = 21.15

Now we have: 275 is what percent of 1300 = 21.15

Question: 275 is what percent of 1300?

Percentage solution with steps:

Step 1: We make the assumption that 1300 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\%}={1300}.

Step 4: In the same vein, {x\%}={275}.

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

{100\%}={1300}(1).

{x\%}={275}(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{1300}{275}

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

\frac{x\%}{100\%}=\frac{275}{1300}

\Rightarrow{x} = {21.15\%}

Therefore, {275} is {21.15\%} of {1300}.

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Solution for 1300 is what percent of 275:

1300:275*100 =

(1300*100):275 =

130000:275 = 472.73

Now we have: 1300 is what percent of 275 = 472.73

Question: 1300 is what percent of 275?

Percentage solution with steps:

Step 1: We make the assumption that 275 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\%}={275}.

Step 4: In the same vein, {x\%}={1300}.

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

{100\%}={275}(1).

{x\%}={1300}(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{275}{1300}

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

\frac{x\%}{100\%}=\frac{1300}{275}

\Rightarrow{x} = {472.73\%}

Therefore, {1300} is {472.73\%} of {275}.