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Solution for 83 is what percent of 69:

83:69*100 =

(83*100):69 =

8300:69 = 120.29

Now we have: 83 is what percent of 69 = 120.29

Question: 83 is what percent of 69?

Percentage solution with steps:

Step 1: We make the assumption that 69 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\%}={69}.

Step 4: In the same vein, {x\%}={83}.

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

{100\%}={69}(1).

{x\%}={83}(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{69}{83}

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

\frac{x\%}{100\%}=\frac{83}{69}

\Rightarrow{x} = {120.29\%}

Therefore, {83} is {120.29\%} of {69}.

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Solution for 69 is what percent of 83:

69:83*100 =

(69*100):83 =

6900:83 = 83.13

Now we have: 69 is what percent of 83 = 83.13

Question: 69 is what percent of 83?

Percentage solution with steps:

Step 1: We make the assumption that 83 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\%}={83}.

Step 4: In the same vein, {x\%}={69}.

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

{100\%}={83}(1).

{x\%}={69}(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{83}{69}

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

\frac{x\%}{100\%}=\frac{69}{83}

\Rightarrow{x} = {83.13\%}

Therefore, {69} is {83.13\%} of {83}.