#### Solution for 260 is what percent of 157:

260:157*100 =

(260*100):157 =

26000:157 = 165.61

Now we have: 260 is what percent of 157 = 165.61

Question: 260 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\%}={260}.

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

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

{x\%}={260}(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}{260}

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

\frac{x\%}{100\%}=\frac{260}{157}

\Rightarrow{x} = {165.61\%}

Therefore, {260} is {165.61\%} of {157}.

#### Solution for 157 is what percent of 260:

157:260*100 =

(157*100):260 =

15700:260 = 60.38

Now we have: 157 is what percent of 260 = 60.38

Question: 157 is what percent of 260?

Percentage solution with steps:

Step 1: We make the assumption that 260 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\%}={260}.

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

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

{100\%}={260}(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{260}{157}

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

\frac{x\%}{100\%}=\frac{157}{260}

\Rightarrow{x} = {60.38\%}

Therefore, {157} is {60.38\%} of {260}.

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