#### Solution for 45 is what percent of 70:

45:70*100 =

( 45*100):70 =

4500:70 = 64.29

Now we have: 45 is what percent of 70 = 64.29

Question: 45 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\%}={ 45}.

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

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

{x\%}={ 45}(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}{ 45}

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

\frac{x\%}{100\%}=\frac{ 45}{70}

\Rightarrow{x} = {64.29\%}

Therefore, { 45} is {64.29\%} of {70}.

#### Solution for 70 is what percent of 45:

70: 45*100 =

(70*100): 45 =

7000: 45 = 155.56

Now we have: 70 is what percent of 45 = 155.56

Question: 70 is what percent of 45?

Percentage solution with steps:

Step 1: We make the assumption that 45 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\%}={ 45}.

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

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

{100\%}={ 45}(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{ 45}{70}

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

\frac{x\%}{100\%}=\frac{70}{ 45}

\Rightarrow{x} = {155.56\%}

Therefore, {70} is {155.56\%} of { 45}.

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