#### Solution for 2900 is what percent of 4700:

2900:4700*100 =

(2900*100):4700 =

290000:4700 = 61.7

Now we have: 2900 is what percent of 4700 = 61.7

Question: 2900 is what percent of 4700?

Percentage solution with steps:

Step 1: We make the assumption that 4700 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\%}={4700}.

Step 4: In the same vein, {x\%}={2900}.

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

{100\%}={4700}(1).

{x\%}={2900}(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{4700}{2900}

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

\frac{x\%}{100\%}=\frac{2900}{4700}

\Rightarrow{x} = {61.7\%}

Therefore, {2900} is {61.7\%} of {4700}.

#### Solution for 4700 is what percent of 2900:

4700:2900*100 =

(4700*100):2900 =

470000:2900 = 162.07

Now we have: 4700 is what percent of 2900 = 162.07

Question: 4700 is what percent of 2900?

Percentage solution with steps:

Step 1: We make the assumption that 2900 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\%}={2900}.

Step 4: In the same vein, {x\%}={4700}.

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

{100\%}={2900}(1).

{x\%}={4700}(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{2900}{4700}

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

\frac{x\%}{100\%}=\frac{4700}{2900}

\Rightarrow{x} = {162.07\%}

Therefore, {4700} is {162.07\%} of {2900}.

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