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Solution for .100 is what percent of 49:

.100:49*100 =

(.100*100):49 =

10:49 = 0.2

Now we have: .100 is what percent of 49 = 0.2

Question: .100 is what percent of 49?

Percentage solution with steps:

Step 1: We make the assumption that 49 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\%}={49}.

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

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

{100\%}={49}(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{49}{.100}

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

\frac{x\%}{100\%}=\frac{.100}{49}

\Rightarrow{x} = {0.2\%}

Therefore, {.100} is {0.2\%} of {49}.

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Solution for 49 is what percent of .100:

49:.100*100 =

(49*100):.100 =

4900:.100 = 49000

Now we have: 49 is what percent of .100 = 49000

Question: 49 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\%}={49}.

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

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

{x\%}={49}(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}{49}

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

\frac{x\%}{100\%}=\frac{49}{.100}

\Rightarrow{x} = {49000\%}

Therefore, {49} is {49000\%} of {.100}.