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Solution for 689 is what percent of 46:

689:46*100 =

(689*100):46 =

68900:46 = 1497.83

Now we have: 689 is what percent of 46 = 1497.83

Question: 689 is what percent of 46?

Percentage solution with steps:

Step 1: We make the assumption that 46 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\%}={46}.

Step 4: In the same vein, {x\%}={689}.

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

{100\%}={46}(1).

{x\%}={689}(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{46}{689}

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

\frac{x\%}{100\%}=\frac{689}{46}

\Rightarrow{x} = {1497.83\%}

Therefore, {689} is {1497.83\%} of {46}.

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• 689 is what percent of 100 = 689

Solution for 46 is what percent of 689:

46:689*100 =

(46*100):689 =

4600:689 = 6.68

Now we have: 46 is what percent of 689 = 6.68

Question: 46 is what percent of 689?

Percentage solution with steps:

Step 1: We make the assumption that 689 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\%}={689}.

Step 4: In the same vein, {x\%}={46}.

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

{100\%}={689}(1).

{x\%}={46}(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{689}{46}

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

\frac{x\%}{100\%}=\frac{46}{689}

\Rightarrow{x} = {6.68\%}

Therefore, {46} is {6.68\%} of {689}.