#### Solution for 3970 is what percent of 4200:

3970:4200*100 =

(3970*100):4200 =

397000:4200 = 94.52

Now we have: 3970 is what percent of 4200 = 94.52

Question: 3970 is what percent of 4200?

Percentage solution with steps:

Step 1: We make the assumption that 4200 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\%}={4200}.

Step 4: In the same vein, {x\%}={3970}.

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

{100\%}={4200}(1).

{x\%}={3970}(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{4200}{3970}

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

\frac{x\%}{100\%}=\frac{3970}{4200}

\Rightarrow{x} = {94.52\%}

Therefore, {3970} is {94.52\%} of {4200}.

#### Solution for 4200 is what percent of 3970:

4200:3970*100 =

(4200*100):3970 =

420000:3970 = 105.79

Now we have: 4200 is what percent of 3970 = 105.79

Question: 4200 is what percent of 3970?

Percentage solution with steps:

Step 1: We make the assumption that 3970 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\%}={3970}.

Step 4: In the same vein, {x\%}={4200}.

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

{100\%}={3970}(1).

{x\%}={4200}(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{3970}{4200}

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

\frac{x\%}{100\%}=\frac{4200}{3970}

\Rightarrow{x} = {105.79\%}

Therefore, {4200} is {105.79\%} of {3970}.

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