#### Solution for 45 is what percent of 291:

45:291*100 =

(45*100):291 =

4500:291 = 15.46

Now we have: 45 is what percent of 291 = 15.46

Question: 45 is what percent of 291?

Percentage solution with steps:

Step 1: We make the assumption that 291 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\%}={291}.

Step 4: In the same vein, {x\%}={45}.

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

{100\%}={291}(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{291}{45}

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

\frac{x\%}{100\%}=\frac{45}{291}

\Rightarrow{x} = {15.46\%}

Therefore, {45} is {15.46\%} of {291}.

#### Solution for 291 is what percent of 45:

291:45*100 =

(291*100):45 =

29100:45 = 646.67

Now we have: 291 is what percent of 45 = 646.67

Question: 291 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\%}={291}.

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

{100\%}={45}(1).

{x\%}={291}(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}{291}

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

\frac{x\%}{100\%}=\frac{291}{45}

\Rightarrow{x} = {646.67\%}

Therefore, {291} is {646.67\%} of {45}.

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