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Solution for 40 is what percent of 6705:

40:6705*100 =

(40*100):6705 =

4000:6705 = 0.6

Now we have: 40 is what percent of 6705 = 0.6

Question: 40 is what percent of 6705?

Percentage solution with steps:

Step 1: We make the assumption that 6705 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\%}={6705}.

Step 4: In the same vein, {x\%}={40}.

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

{100\%}={6705}(1).

{x\%}={40}(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{6705}{40}

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

\frac{x\%}{100\%}=\frac{40}{6705}

\Rightarrow{x} = {0.6\%}

Therefore, {40} is {0.6\%} of {6705}.

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Solution for 6705 is what percent of 40:

6705:40*100 =

(6705*100):40 =

670500:40 = 16762.5

Now we have: 6705 is what percent of 40 = 16762.5

Question: 6705 is what percent of 40?

Percentage solution with steps:

Step 1: We make the assumption that 40 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\%}={40}.

Step 4: In the same vein, {x\%}={6705}.

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

{100\%}={40}(1).

{x\%}={6705}(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{40}{6705}

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

\frac{x\%}{100\%}=\frac{6705}{40}

\Rightarrow{x} = {16762.5\%}

Therefore, {6705} is {16762.5\%} of {40}.