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Solution for 40 is what percent of 705:

40:705*100 =

(40*100):705 =

4000:705 = 5.67

Now we have: 40 is what percent of 705 = 5.67

Question: 40 is what percent of 705?

Percentage solution with steps:

Step 1: We make the assumption that 705 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\%}={705}.

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

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

{100\%}={705}(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{705}{40}

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

\frac{x\%}{100\%}=\frac{40}{705}

\Rightarrow{x} = {5.67\%}

Therefore, {40} is {5.67\%} of {705}.

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Solution for 705 is what percent of 40:

705:40*100 =

(705*100):40 =

70500:40 = 1762.5

Now we have: 705 is what percent of 40 = 1762.5

Question: 705 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\%}={705}.

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

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

{x\%}={705}(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}{705}

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

\frac{x\%}{100\%}=\frac{705}{40}

\Rightarrow{x} = {1762.5\%}

Therefore, {705} is {1762.5\%} of {40}.