#### Solution for 412 is what percent of 752:

412:752*100 =

(412*100):752 =

41200:752 = 54.79

Now we have: 412 is what percent of 752 = 54.79

Question: 412 is what percent of 752?

Percentage solution with steps:

Step 1: We make the assumption that 752 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\%}={752}.

Step 4: In the same vein, {x\%}={412}.

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

{100\%}={752}(1).

{x\%}={412}(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{752}{412}

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

\frac{x\%}{100\%}=\frac{412}{752}

\Rightarrow{x} = {54.79\%}

Therefore, {412} is {54.79\%} of {752}.

#### Solution for 752 is what percent of 412:

752:412*100 =

(752*100):412 =

75200:412 = 182.52

Now we have: 752 is what percent of 412 = 182.52

Question: 752 is what percent of 412?

Percentage solution with steps:

Step 1: We make the assumption that 412 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\%}={412}.

Step 4: In the same vein, {x\%}={752}.

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

{100\%}={412}(1).

{x\%}={752}(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{412}{752}

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

\frac{x\%}{100\%}=\frac{752}{412}

\Rightarrow{x} = {182.52\%}

Therefore, {752} is {182.52\%} of {412}.

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