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Solution for 157 is what percent of 46:

157:46*100 =

(157*100):46 =

15700:46 = 341.3

Now we have: 157 is what percent of 46 = 341.3

Question: 157 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\%}={157}.

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

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

{x\%}={157}(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}{157}

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

\frac{x\%}{100\%}=\frac{157}{46}

\Rightarrow{x} = {341.3\%}

Therefore, {157} is {341.3\%} of {46}.

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Solution for 46 is what percent of 157:

46:157*100 =

(46*100):157 =

4600:157 = 29.3

Now we have: 46 is what percent of 157 = 29.3

Question: 46 is what percent of 157?

Percentage solution with steps:

Step 1: We make the assumption that 157 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\%}={157}.

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

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

{100\%}={157}(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{157}{46}

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

\frac{x\%}{100\%}=\frac{46}{157}

\Rightarrow{x} = {29.3\%}

Therefore, {46} is {29.3\%} of {157}.