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Solution for .1 is what percent of 37:

.1:37*100 =

(.1*100):37 =

10:37 = 0.27

Now we have: .1 is what percent of 37 = 0.27

Question: .1 is what percent of 37?

Percentage solution with steps:

Step 1: We make the assumption that 37 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\%}={37}.

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

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

{100\%}={37}(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{37}{.1}

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

\frac{x\%}{100\%}=\frac{.1}{37}

\Rightarrow{x} = {0.27\%}

Therefore, {.1} is {0.27\%} of {37}.

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Solution for 37 is what percent of .1:

37:.1*100 =

(37*100):.1 =

3700:.1 = 37000

Now we have: 37 is what percent of .1 = 37000

Question: 37 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\%}={37}.

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

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

{x\%}={37}(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}{37}

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

\frac{x\%}{100\%}=\frac{37}{.1}

\Rightarrow{x} = {37000\%}

Therefore, {37} is {37000\%} of {.1}.