#### Solution for 32 is what percent of 700:

32:700*100 =

(32*100):700 =

3200:700 = 4.57

Now we have: 32 is what percent of 700 = 4.57

Question: 32 is what percent of 700?

Percentage solution with steps:

Step 1: We make the assumption that 700 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\%}={700}.

Step 4: In the same vein, {x\%}={32}.

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

{100\%}={700}(1).

{x\%}={32}(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{700}{32}

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

\frac{x\%}{100\%}=\frac{32}{700}

\Rightarrow{x} = {4.57\%}

Therefore, {32} is {4.57\%} of {700}.

#### Solution for 700 is what percent of 32:

700:32*100 =

(700*100):32 =

70000:32 = 2187.5

Now we have: 700 is what percent of 32 = 2187.5

Question: 700 is what percent of 32?

Percentage solution with steps:

Step 1: We make the assumption that 32 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\%}={32}.

Step 4: In the same vein, {x\%}={700}.

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

{100\%}={32}(1).

{x\%}={700}(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{32}{700}

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

\frac{x\%}{100\%}=\frac{700}{32}

\Rightarrow{x} = {2187.5\%}

Therefore, {700} is {2187.5\%} of {32}.

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