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Solution for 267.5 is what percent of 46:

267.5:46*100 =

(267.5*100):46 =

26750:46 = 581.52173913043

Now we have: 267.5 is what percent of 46 = 581.52173913043

Question: 267.5 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\%}={267.5}.

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

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

{x\%}={267.5}(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}{267.5}

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

\frac{x\%}{100\%}=\frac{267.5}{46}

\Rightarrow{x} = {581.52173913043\%}

Therefore, {267.5} is {581.52173913043\%} of {46}.

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Solution for 46 is what percent of 267.5:

46:267.5*100 =

(46*100):267.5 =

4600:267.5 = 17.196261682243

Now we have: 46 is what percent of 267.5 = 17.196261682243

Question: 46 is what percent of 267.5?

Percentage solution with steps:

Step 1: We make the assumption that 267.5 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\%}={267.5}.

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

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

{100\%}={267.5}(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{267.5}{46}

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

\frac{x\%}{100\%}=\frac{46}{267.5}

\Rightarrow{x} = {17.196261682243\%}

Therefore, {46} is {17.196261682243\%} of {267.5}.