#### Solution for 61 is what percent of 70:

61: 70*100 =

(61*100): 70 =

6100: 70 = 87.14

Now we have: 61 is what percent of 70 = 87.14

Question: 61 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\%}={61}.

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

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

{x\%}={61}(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}{61}

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

\frac{x\%}{100\%}=\frac{61}{ 70}

\Rightarrow{x} = {87.14\%}

Therefore, {61} is {87.14\%} of { 70}.

#### Solution for 70 is what percent of 61:

70:61*100 =

( 70*100):61 =

7000:61 = 114.75

Now we have: 70 is what percent of 61 = 114.75

Question: 70 is what percent of 61?

Percentage solution with steps:

Step 1: We make the assumption that 61 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\%}={61}.

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

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

{100\%}={61}(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{61}{ 70}

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

\frac{x\%}{100\%}=\frac{ 70}{61}

\Rightarrow{x} = {114.75\%}

Therefore, { 70} is {114.75\%} of {61}.

Calculation Samples