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Solution for 2000 is what percent of 4200:

2000:4200*100 =

(2000*100):4200 =

200000:4200 = 47.62

Now we have: 2000 is what percent of 4200 = 47.62

Question: 2000 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\%}={2000}.

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

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

{x\%}={2000}(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}{2000}

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

\frac{x\%}{100\%}=\frac{2000}{4200}

\Rightarrow{x} = {47.62\%}

Therefore, {2000} is {47.62\%} of {4200}.

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Solution for 4200 is what percent of 2000:

4200:2000*100 =

(4200*100):2000 =

420000:2000 = 210

Now we have: 4200 is what percent of 2000 = 210

Question: 4200 is what percent of 2000?

Percentage solution with steps:

Step 1: We make the assumption that 2000 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\%}={2000}.

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

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

{100\%}={2000}(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{2000}{4200}

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

\frac{x\%}{100\%}=\frac{4200}{2000}

\Rightarrow{x} = {210\%}

Therefore, {4200} is {210\%} of {2000}.