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Solution for 1255 is what percent of 46:

1255:46*100 =

(1255*100):46 =

125500:46 = 2728.26

Now we have: 1255 is what percent of 46 = 2728.26

Question: 1255 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\%}={1255}.

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

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

{x\%}={1255}(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}{1255}

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

\frac{x\%}{100\%}=\frac{1255}{46}

\Rightarrow{x} = {2728.26\%}

Therefore, {1255} is {2728.26\%} of {46}.

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Solution for 46 is what percent of 1255:

46:1255*100 =

(46*100):1255 =

4600:1255 = 3.67

Now we have: 46 is what percent of 1255 = 3.67

Question: 46 is what percent of 1255?

Percentage solution with steps:

Step 1: We make the assumption that 1255 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\%}={1255}.

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

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

{100\%}={1255}(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{1255}{46}

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

\frac{x\%}{100\%}=\frac{46}{1255}

\Rightarrow{x} = {3.67\%}

Therefore, {46} is {3.67\%} of {1255}.