#### Solution for 629 is what percent of 686:

629:686*100 =

(629*100):686 =

62900:686 = 91.69

Now we have: 629 is what percent of 686 = 91.69

Question: 629 is what percent of 686?

Percentage solution with steps:

Step 1: We make the assumption that 686 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\%}={686}.

Step 4: In the same vein, {x\%}={629}.

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

{100\%}={686}(1).

{x\%}={629}(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{686}{629}

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

\frac{x\%}{100\%}=\frac{629}{686}

\Rightarrow{x} = {91.69\%}

Therefore, {629} is {91.69\%} of {686}.

#### Solution for 686 is what percent of 629:

686:629*100 =

(686*100):629 =

68600:629 = 109.06

Now we have: 686 is what percent of 629 = 109.06

Question: 686 is what percent of 629?

Percentage solution with steps:

Step 1: We make the assumption that 629 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\%}={629}.

Step 4: In the same vein, {x\%}={686}.

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

{100\%}={629}(1).

{x\%}={686}(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{629}{686}

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

\frac{x\%}{100\%}=\frac{686}{629}

\Rightarrow{x} = {109.06\%}

Therefore, {686} is {109.06\%} of {629}.

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