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Solution for 827 is what percent of 1300:

827:1300*100 =

(827*100):1300 =

82700:1300 = 63.62

Now we have: 827 is what percent of 1300 = 63.62

Question: 827 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\%}={827}.

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

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

{x\%}={827}(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}{827}

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

\frac{x\%}{100\%}=\frac{827}{1300}

\Rightarrow{x} = {63.62\%}

Therefore, {827} is {63.62\%} of {1300}.

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Solution for 1300 is what percent of 827:

1300:827*100 =

(1300*100):827 =

130000:827 = 157.19

Now we have: 1300 is what percent of 827 = 157.19

Question: 1300 is what percent of 827?

Percentage solution with steps:

Step 1: We make the assumption that 827 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\%}={827}.

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

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

{100\%}={827}(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{827}{1300}

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

\frac{x\%}{100\%}=\frac{1300}{827}

\Rightarrow{x} = {157.19\%}

Therefore, {1300} is {157.19\%} of {827}.