#### Solution for 1 is what percent of .4:

1:.4*100 =

(1*100):.4 =

100:.4 = 250

Now we have: 1 is what percent of .4 = 250

Question: 1 is what percent of .4?

Percentage solution with steps:

Step 1: We make the assumption that .4 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\%}={.4}.

Step 4: In the same vein, {x\%}={1}.

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

{100\%}={.4}(1).

{x\%}={1}(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{.4}{1}

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

\frac{x\%}{100\%}=\frac{1}{.4}

\Rightarrow{x} = {250\%}

Therefore, {1} is {250\%} of {.4}.

#### Solution for .4 is what percent of 1:

.4:1*100 =

(.4*100):1 =

40:1 = 40

Now we have: .4 is what percent of 1 = 40

Question: .4 is what percent of 1?

Percentage solution with steps:

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

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

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

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

{x\%}={.4}(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{1}{.4}

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

\frac{x\%}{100\%}=\frac{.4}{1}

\Rightarrow{x} = {40\%}

Therefore, {.4} is {40\%} of {1}.

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