#### Solution for 420 is what percent of 397:

420:397*100 =

(420*100):397 =

42000:397 = 105.79

Now we have: 420 is what percent of 397 = 105.79

Question: 420 is what percent of 397?

Percentage solution with steps:

Step 1: We make the assumption that 397 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\%}={397}.

Step 4: In the same vein, {x\%}={420}.

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

{100\%}={397}(1).

{x\%}={420}(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{397}{420}

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

\frac{x\%}{100\%}=\frac{420}{397}

\Rightarrow{x} = {105.79\%}

Therefore, {420} is {105.79\%} of {397}.

#### Solution for 397 is what percent of 420:

397:420*100 =

(397*100):420 =

39700:420 = 94.52

Now we have: 397 is what percent of 420 = 94.52

Question: 397 is what percent of 420?

Percentage solution with steps:

Step 1: We make the assumption that 420 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\%}={420}.

Step 4: In the same vein, {x\%}={397}.

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

{100\%}={420}(1).

{x\%}={397}(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{420}{397}

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

\frac{x\%}{100\%}=\frac{397}{420}

\Rightarrow{x} = {94.52\%}

Therefore, {397} is {94.52\%} of {420}.

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