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Solution for 829 is what percent of 46:

829:46*100 =

(829*100):46 =

82900:46 = 1802.17

Now we have: 829 is what percent of 46 = 1802.17

Question: 829 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\%}={829}.

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

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

{x\%}={829}(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}{829}

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

\frac{x\%}{100\%}=\frac{829}{46}

\Rightarrow{x} = {1802.17\%}

Therefore, {829} is {1802.17\%} of {46}.

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Solution for 46 is what percent of 829:

46:829*100 =

(46*100):829 =

4600:829 = 5.55

Now we have: 46 is what percent of 829 = 5.55

Question: 46 is what percent of 829?

Percentage solution with steps:

Step 1: We make the assumption that 829 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\%}={829}.

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

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

{100\%}={829}(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{829}{46}

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

\frac{x\%}{100\%}=\frac{46}{829}

\Rightarrow{x} = {5.55\%}

Therefore, {46} is {5.55\%} of {829}.