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Solution for 0.40 is what percent of 39:

0.40:39*100 =

(0.40*100):39 =

40:39 = 1.025641025641

Now we have: 0.40 is what percent of 39 = 1.025641025641

Question: 0.40 is what percent of 39?

Percentage solution with steps:

Step 1: We make the assumption that 39 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\%}={39}.

Step 4: In the same vein, {x\%}={0.40}.

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

{100\%}={39}(1).

{x\%}={0.40}(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{39}{0.40}

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

\frac{x\%}{100\%}=\frac{0.40}{39}

\Rightarrow{x} = {1.025641025641\%}

Therefore, {0.40} is {1.025641025641\%} of {39}.

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• 0.40 is what percent of 100 = 0.4

Solution for 39 is what percent of 0.40:

39:0.40*100 =

(39*100):0.40 =

3900:0.40 = 9750

Now we have: 39 is what percent of 0.40 = 9750

Question: 39 is what percent of 0.40?

Percentage solution with steps:

Step 1: We make the assumption that 0.40 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\%}={0.40}.

Step 4: In the same vein, {x\%}={39}.

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

{100\%}={0.40}(1).

{x\%}={39}(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{0.40}{39}

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

\frac{x\%}{100\%}=\frac{39}{0.40}

\Rightarrow{x} = {9750\%}

Therefore, {39} is {9750\%} of {0.40}.