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Solution for 7900 is what percent of 46:

7900:46*100 =

(7900*100):46 =

790000:46 = 17173.91

Now we have: 7900 is what percent of 46 = 17173.91

Question: 7900 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\%}={7900}.

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

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

{x\%}={7900}(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}{7900}

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

\frac{x\%}{100\%}=\frac{7900}{46}

\Rightarrow{x} = {17173.91\%}

Therefore, {7900} is {17173.91\%} of {46}.

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Solution for 46 is what percent of 7900:

46:7900*100 =

(46*100):7900 =

4600:7900 = 0.58

Now we have: 46 is what percent of 7900 = 0.58

Question: 46 is what percent of 7900?

Percentage solution with steps:

Step 1: We make the assumption that 7900 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\%}={7900}.

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

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

{100\%}={7900}(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{7900}{46}

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

\frac{x\%}{100\%}=\frac{46}{7900}

\Rightarrow{x} = {0.58\%}

Therefore, {46} is {0.58\%} of {7900}.