#### Solution for 70 is what percent of 1142:

70:1142*100 =

(70*100):1142 =

7000:1142 = 6.13

Now we have: 70 is what percent of 1142 = 6.13

Question: 70 is what percent of 1142?

Percentage solution with steps:

Step 1: We make the assumption that 1142 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\%}={1142}.

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

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

{100\%}={1142}(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{1142}{70}

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

\frac{x\%}{100\%}=\frac{70}{1142}

\Rightarrow{x} = {6.13\%}

Therefore, {70} is {6.13\%} of {1142}.

#### Solution for 1142 is what percent of 70:

1142:70*100 =

(1142*100):70 =

114200:70 = 1631.43

Now we have: 1142 is what percent of 70 = 1631.43

Question: 1142 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\%}={1142}.

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

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

{x\%}={1142}(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}{1142}

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

\frac{x\%}{100\%}=\frac{1142}{70}

\Rightarrow{x} = {1631.43\%}

Therefore, {1142} is {1631.43\%} of {70}.

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