#### Solution for 378.5 is what percent of 423:

378.5:423*100 =

(378.5*100):423 =

37850:423 = 89.479905437352

Now we have: 378.5 is what percent of 423 = 89.479905437352

Question: 378.5 is what percent of 423?

Percentage solution with steps:

Step 1: We make the assumption that 423 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\%}={423}.

Step 4: In the same vein, {x\%}={378.5}.

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

{100\%}={423}(1).

{x\%}={378.5}(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{423}{378.5}

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

\frac{x\%}{100\%}=\frac{378.5}{423}

\Rightarrow{x} = {89.479905437352\%}

Therefore, {378.5} is {89.479905437352\%} of {423}.

#### Solution for 423 is what percent of 378.5:

423:378.5*100 =

(423*100):378.5 =

42300:378.5 = 111.75693527081

Now we have: 423 is what percent of 378.5 = 111.75693527081

Question: 423 is what percent of 378.5?

Percentage solution with steps:

Step 1: We make the assumption that 378.5 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\%}={378.5}.

Step 4: In the same vein, {x\%}={423}.

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

{100\%}={378.5}(1).

{x\%}={423}(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{378.5}{423}

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

\frac{x\%}{100\%}=\frac{423}{378.5}

\Rightarrow{x} = {111.75693527081\%}

Therefore, {423} is {111.75693527081\%} of {378.5}.

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