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Solution for 524 is what percent of 46:

524:46*100 =

(524*100):46 =

52400:46 = 1139.13

Now we have: 524 is what percent of 46 = 1139.13

Question: 524 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\%}={524}.

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

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

{x\%}={524}(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}{524}

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

\frac{x\%}{100\%}=\frac{524}{46}

\Rightarrow{x} = {1139.13\%}

Therefore, {524} is {1139.13\%} of {46}.

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• 524 is what percent of 100 = 524

Solution for 46 is what percent of 524:

46:524*100 =

(46*100):524 =

4600:524 = 8.78

Now we have: 46 is what percent of 524 = 8.78

Question: 46 is what percent of 524?

Percentage solution with steps:

Step 1: We make the assumption that 524 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\%}={524}.

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

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

{100\%}={524}(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{524}{46}

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

\frac{x\%}{100\%}=\frac{46}{524}

\Rightarrow{x} = {8.78\%}

Therefore, {46} is {8.78\%} of {524}.