#### Solution for 53.5 is what percent of 70:

53.5:70*100 =

(53.5*100):70 =

5350:70 = 76.428571428571

Now we have: 53.5 is what percent of 70 = 76.428571428571

Question: 53.5 is what percent of 70?

Percentage solution with steps:

Step 1: We make the assumption that 70 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\%}={70}.

Step 4: In the same vein, {x\%}={53.5}.

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

{100\%}={70}(1).

{x\%}={53.5}(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{70}{53.5}

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

\frac{x\%}{100\%}=\frac{53.5}{70}

\Rightarrow{x} = {76.428571428571\%}

Therefore, {53.5} is {76.428571428571\%} of {70}.

#### Solution for 70 is what percent of 53.5:

70:53.5*100 =

(70*100):53.5 =

7000:53.5 = 130.84112149533

Now we have: 70 is what percent of 53.5 = 130.84112149533

Question: 70 is what percent of 53.5?

Percentage solution with steps:

Step 1: We make the assumption that 53.5 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\%}={53.5}.

Step 4: In the same vein, {x\%}={70}.

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

{100\%}={53.5}(1).

{x\%}={70}(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{53.5}{70}

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

\frac{x\%}{100\%}=\frac{70}{53.5}

\Rightarrow{x} = {130.84112149533\%}

Therefore, {70} is {130.84112149533\%} of {53.5}.

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