#### Solution for .422 is what percent of 100:

.422:100*100 =

(.422*100):100 =

42.2:100 = 0.42

Now we have: .422 is what percent of 100 = 0.42

Question: .422 is what percent of 100?

Percentage solution with steps:

Step 1: We make the assumption that 100 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\%}={100}.

Step 4: In the same vein, {x\%}={.422}.

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

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

{x\%}={.422}(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{100}{.422}

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

\frac{x\%}{100\%}=\frac{.422}{100}

\Rightarrow{x} = {0.42\%}

Therefore, {.422} is {0.42\%} of {100}.

#### Solution for 100 is what percent of .422:

100:.422*100 =

(100*100):.422 =

10000:.422 = 23696.68

Now we have: 100 is what percent of .422 = 23696.68

Question: 100 is what percent of .422?

Percentage solution with steps:

Step 1: We make the assumption that .422 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\%}={.422}.

Step 4: In the same vein, {x\%}={100}.

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

{100\%}={.422}(1).

{x\%}={100}(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{.422}{100}

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

\frac{x\%}{100\%}=\frac{100}{.422}

\Rightarrow{x} = {23696.68\%}

Therefore, {100} is {23696.68\%} of {.422}.

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