#### Solution for 7 is what percent of 53:

7:53*100 =

(7*100):53 =

700:53 = 13.21

Now we have: 7 is what percent of 53 = 13.21

Question: 7 is what percent of 53?

Percentage solution with steps:

Step 1: We make the assumption that 53 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\%}={53}.

Step 4: In the same vein, {x\%}={7}.

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

{100\%}={53}(1).

{x\%}={7}(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{53}{7}

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

\frac{x\%}{100\%}=\frac{7}{53}

\Rightarrow{x} = {13.21\%}

Therefore, {7} is {13.21\%} of {53}.

#### Solution for 53 is what percent of 7:

53:7*100 =

(53*100):7 =

5300:7 = 757.14

Now we have: 53 is what percent of 7 = 757.14

Question: 53 is what percent of 7?

Percentage solution with steps:

Step 1: We make the assumption that 7 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\%}={7}.

Step 4: In the same vein, {x\%}={53}.

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

{100\%}={7}(1).

{x\%}={53}(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{7}{53}

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

\frac{x\%}{100\%}=\frac{53}{7}

\Rightarrow{x} = {757.14\%}

Therefore, {53} is {757.14\%} of {7}.

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