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Solution for 789 is what percent of 45:

789:45*100 =

(789*100):45 =

78900:45 = 1753.33

Now we have: 789 is what percent of 45 = 1753.33

Question: 789 is what percent of 45?

Percentage solution with steps:

Step 1: We make the assumption that 45 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\%}={45}.

Step 4: In the same vein, {x\%}={789}.

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

{100\%}={45}(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{45}{789}

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

\frac{x\%}{100\%}=\frac{789}{45}

\Rightarrow{x} = {1753.33\%}

Therefore, {789} is {1753.33\%} of {45}.

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Solution for 45 is what percent of 789:

45:789*100 =

(45*100):789 =

4500:789 = 5.7

Now we have: 45 is what percent of 789 = 5.7

Question: 45 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\%}={45}.

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

{100\%}={789}(1).

{x\%}={45}(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}{45}

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

\frac{x\%}{100\%}=\frac{45}{789}

\Rightarrow{x} = {5.7\%}

Therefore, {45} is {5.7\%} of {789}.