#### Solution for 70 is what percent of 28:

70:28*100 =

(70*100):28 =

7000:28 = 250

Now we have: 70 is what percent of 28 = 250

Question: 70 is what percent of 28?

Percentage solution with steps:

Step 1: We make the assumption that 28 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\%}={28}.

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

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

{100\%}={28}(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{28}{70}

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

\frac{x\%}{100\%}=\frac{70}{28}

\Rightarrow{x} = {250\%}

Therefore, {70} is {250\%} of {28}.

#### Solution for 28 is what percent of 70:

28:70*100 =

(28*100):70 =

2800:70 = 40

Now we have: 28 is what percent of 70 = 40

Question: 28 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\%}={28}.

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

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

{x\%}={28}(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}{28}

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

\frac{x\%}{100\%}=\frac{28}{70}

\Rightarrow{x} = {40\%}

Therefore, {28} is {40\%} of {70}.

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