#### Solution for 45 is what percent of 1177:

45:1177*100 =

(45*100):1177 =

4500:1177 = 3.82

Now we have: 45 is what percent of 1177 = 3.82

Question: 45 is what percent of 1177?

Percentage solution with steps:

Step 1: We make the assumption that 1177 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\%}={1177}.

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

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

{100\%}={1177}(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{1177}{45}

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

\frac{x\%}{100\%}=\frac{45}{1177}

\Rightarrow{x} = {3.82\%}

Therefore, {45} is {3.82\%} of {1177}.

#### Solution for 1177 is what percent of 45:

1177:45*100 =

(1177*100):45 =

117700:45 = 2615.56

Now we have: 1177 is what percent of 45 = 2615.56

Question: 1177 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\%}={1177}.

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

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

{x\%}={1177}(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}{1177}

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

\frac{x\%}{100\%}=\frac{1177}{45}

\Rightarrow{x} = {2615.56\%}

Therefore, {1177} is {2615.56\%} of {45}.

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