#### Solution for .75 is what percent of 40:

.75:40*100 =

(.75*100):40 =

75:40 = 1.88

Now we have: .75 is what percent of 40 = 1.88

Question: .75 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\%}={.75}.

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

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

{x\%}={.75}(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}{.75}

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

\frac{x\%}{100\%}=\frac{.75}{40}

\Rightarrow{x} = {1.88\%}

Therefore, {.75} is {1.88\%} of {40}.

#### Solution for 40 is what percent of .75:

40:.75*100 =

(40*100):.75 =

4000:.75 = 5333.33

Now we have: 40 is what percent of .75 = 5333.33

Question: 40 is what percent of .75?

Percentage solution with steps:

Step 1: We make the assumption that .75 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\%}={.75}.

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

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

{100\%}={.75}(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{.75}{40}

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

\frac{x\%}{100\%}=\frac{40}{.75}

\Rightarrow{x} = {5333.33\%}

Therefore, {40} is {5333.33\%} of {.75}.

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