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Solution for 789 is what percent of 46:

789:46*100 =

(789*100):46 =

78900:46 = 1715.22

Now we have: 789 is what percent of 46 = 1715.22

Question: 789 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\%}={789}.

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

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

{x\%}={789}(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}{789}

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

\frac{x\%}{100\%}=\frac{789}{46}

\Rightarrow{x} = {1715.22\%}

Therefore, {789} is {1715.22\%} of {46}.

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• 789 is what percent of 100 = 789

Solution for 46 is what percent of 789:

46:789*100 =

(46*100):789 =

4600:789 = 5.83

Now we have: 46 is what percent of 789 = 5.83

Question: 46 is what percent of 789?

Percentage solution with steps:

Step 1: We make the assumption that 789 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\%}={789}.

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

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

{100\%}={789}(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{789}{46}

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

\frac{x\%}{100\%}=\frac{46}{789}

\Rightarrow{x} = {5.83\%}

Therefore, {46} is {5.83\%} of {789}.