#### Solution for 157 is what percent of 472:

157:472*100 =

(157*100):472 =

15700:472 = 33.26

Now we have: 157 is what percent of 472 = 33.26

Question: 157 is what percent of 472?

Percentage solution with steps:

Step 1: We make the assumption that 472 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\%}={472}.

Step 4: In the same vein, {x\%}={157}.

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

{100\%}={472}(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{472}{157}

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

\frac{x\%}{100\%}=\frac{157}{472}

\Rightarrow{x} = {33.26\%}

Therefore, {157} is {33.26\%} of {472}.

#### Solution for 472 is what percent of 157:

472:157*100 =

(472*100):157 =

47200:157 = 300.64

Now we have: 472 is what percent of 157 = 300.64

Question: 472 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\%}={472}.

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

{100\%}={157}(1).

{x\%}={472}(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}{472}

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

\frac{x\%}{100\%}=\frac{472}{157}

\Rightarrow{x} = {300.64\%}

Therefore, {472} is {300.64\%} of {157}.

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