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Solution for 1023 is what percent of 1200:

1023:1200*100 =

(1023*100):1200 =

102300:1200 = 85.25

Now we have: 1023 is what percent of 1200 = 85.25

Question: 1023 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\%}={1023}.

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

{100\%}={1200}(1).

{x\%}={1023}(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}{1023}

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

\frac{x\%}{100\%}=\frac{1023}{1200}

\Rightarrow{x} = {85.25\%}

Therefore, {1023} is {85.25\%} of {1200}.

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Solution for 1200 is what percent of 1023:

1200:1023*100 =

(1200*100):1023 =

120000:1023 = 117.3

Now we have: 1200 is what percent of 1023 = 117.3

Question: 1200 is what percent of 1023?

Percentage solution with steps:

Step 1: We make the assumption that 1023 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\%}={1023}.

Step 4: In the same vein, {x\%}={1200}.

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

{100\%}={1023}(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{1023}{1200}

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

\frac{x\%}{100\%}=\frac{1200}{1023}

\Rightarrow{x} = {117.3\%}

Therefore, {1200} is {117.3\%} of {1023}.