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Solution for 137 is what percent of 46:

137:46*100 =

(137*100):46 =

13700:46 = 297.83

Now we have: 137 is what percent of 46 = 297.83

Question: 137 is what percent of 46?

Percentage solution with steps:

Step 1: We make the assumption that 46 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\%}={46}.

Step 4: In the same vein, {x\%}={137}.

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

{100\%}={46}(1).

{x\%}={137}(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{46}{137}

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

\frac{x\%}{100\%}=\frac{137}{46}

\Rightarrow{x} = {297.83\%}

Therefore, {137} is {297.83\%} of {46}.

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Solution for 46 is what percent of 137:

46:137*100 =

(46*100):137 =

4600:137 = 33.58

Now we have: 46 is what percent of 137 = 33.58

Question: 46 is what percent of 137?

Percentage solution with steps:

Step 1: We make the assumption that 137 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\%}={137}.

Step 4: In the same vein, {x\%}={46}.

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

{100\%}={137}(1).

{x\%}={46}(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{137}{46}

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

\frac{x\%}{100\%}=\frac{46}{137}

\Rightarrow{x} = {33.58\%}

Therefore, {46} is {33.58\%} of {137}.