#### Solution for 47 is what percent of 149:

47:149*100 =

(47*100):149 =

4700:149 = 31.54

Now we have: 47 is what percent of 149 = 31.54

Question: 47 is what percent of 149?

Percentage solution with steps:

Step 1: We make the assumption that 149 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\%}={149}.

Step 4: In the same vein, {x\%}={47}.

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

{100\%}={149}(1).

{x\%}={47}(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{149}{47}

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

\frac{x\%}{100\%}=\frac{47}{149}

\Rightarrow{x} = {31.54\%}

Therefore, {47} is {31.54\%} of {149}.

#### Solution for 149 is what percent of 47:

149:47*100 =

(149*100):47 =

14900:47 = 317.02

Now we have: 149 is what percent of 47 = 317.02

Question: 149 is what percent of 47?

Percentage solution with steps:

Step 1: We make the assumption that 47 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\%}={47}.

Step 4: In the same vein, {x\%}={149}.

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

{100\%}={47}(1).

{x\%}={149}(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{47}{149}

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

\frac{x\%}{100\%}=\frac{149}{47}

\Rightarrow{x} = {317.02\%}

Therefore, {149} is {317.02\%} of {47}.

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