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Solution for 677 is what percent of 42:

677:42*100 =

(677*100):42 =

67700:42 = 1611.9

Now we have: 677 is what percent of 42 = 1611.9

Question: 677 is what percent of 42?

Percentage solution with steps:

Step 1: We make the assumption that 42 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\%}={42}.

Step 4: In the same vein, {x\%}={677}.

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

{100\%}={42}(1).

{x\%}={677}(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{42}{677}

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

\frac{x\%}{100\%}=\frac{677}{42}

\Rightarrow{x} = {1611.9\%}

Therefore, {677} is {1611.9\%} of {42}.

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• 677 is what percent of 100 = 677

Solution for 42 is what percent of 677:

42:677*100 =

(42*100):677 =

4200:677 = 6.2

Now we have: 42 is what percent of 677 = 6.2

Question: 42 is what percent of 677?

Percentage solution with steps:

Step 1: We make the assumption that 677 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\%}={677}.

Step 4: In the same vein, {x\%}={42}.

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

{100\%}={677}(1).

{x\%}={42}(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{677}{42}

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

\frac{x\%}{100\%}=\frac{42}{677}

\Rightarrow{x} = {6.2\%}

Therefore, {42} is {6.2\%} of {677}.