#### Solution for 101 is what percent of 157:

101:157*100 =

(101*100):157 =

10100:157 = 64.33

Now we have: 101 is what percent of 157 = 64.33

Question: 101 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\%}={101}.

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

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

{x\%}={101}(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}{101}

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

\frac{x\%}{100\%}=\frac{101}{157}

\Rightarrow{x} = {64.33\%}

Therefore, {101} is {64.33\%} of {157}.

#### Solution for 157 is what percent of 101:

157:101*100 =

(157*100):101 =

15700:101 = 155.45

Now we have: 157 is what percent of 101 = 155.45

Question: 157 is what percent of 101?

Percentage solution with steps:

Step 1: We make the assumption that 101 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\%}={101}.

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

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

{100\%}={101}(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{101}{157}

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

\frac{x\%}{100\%}=\frac{157}{101}

\Rightarrow{x} = {155.45\%}

Therefore, {157} is {155.45\%} of {101}.

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