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Solution for .01 is what percent of 42:

.01:42*100 =

(.01*100):42 =

1:42 = 0.02

Now we have: .01 is what percent of 42 = 0.02

Question: .01 is what percent of 42?

Percentage solution with steps:

Step 1: We make the assumption that 42 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\%}={42}.

Step 4: In the same vein, {x\%}={.01}.

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

{100\%}={42}(1).

{x\%}={.01}(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{42}{.01}

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

\frac{x\%}{100\%}=\frac{.01}{42}

\Rightarrow{x} = {0.02\%}

Therefore, {.01} is {0.02\%} of {42}.

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Solution for 42 is what percent of .01:

42:.01*100 =

(42*100):.01 =

4200:.01 = 420000

Now we have: 42 is what percent of .01 = 420000

Question: 42 is what percent of .01?

Percentage solution with steps:

Step 1: We make the assumption that .01 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\%}={.01}.

Step 4: In the same vein, {x\%}={42}.

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

{100\%}={.01}(1).

{x\%}={42}(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{.01}{42}

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

\frac{x\%}{100\%}=\frac{42}{.01}

\Rightarrow{x} = {420000\%}

Therefore, {42} is {420000\%} of {.01}.