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Solution for 6000 is what percent of 46:

6000:46*100 =

(6000*100):46 =

600000:46 = 13043.48

Now we have: 6000 is what percent of 46 = 13043.48

Question: 6000 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\%}={6000}.

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

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

{x\%}={6000}(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}{6000}

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

\frac{x\%}{100\%}=\frac{6000}{46}

\Rightarrow{x} = {13043.48\%}

Therefore, {6000} is {13043.48\%} of {46}.

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Solution for 46 is what percent of 6000:

46:6000*100 =

(46*100):6000 =

4600:6000 = 0.77

Now we have: 46 is what percent of 6000 = 0.77

Question: 46 is what percent of 6000?

Percentage solution with steps:

Step 1: We make the assumption that 6000 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\%}={6000}.

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

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

{100\%}={6000}(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{6000}{46}

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

\frac{x\%}{100\%}=\frac{46}{6000}

\Rightarrow{x} = {0.77\%}

Therefore, {46} is {0.77\%} of {6000}.