#### Solution for 70.40 is what percent of 88:

70.40:88*100 =

(70.40*100):88 =

7040:88 = 80

Now we have: 70.40 is what percent of 88 = 80

Question: 70.40 is what percent of 88?

Percentage solution with steps:

Step 1: We make the assumption that 88 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\%}={88}.

Step 4: In the same vein, {x\%}={70.40}.

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

{100\%}={88}(1).

{x\%}={70.40}(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{88}{70.40}

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

\frac{x\%}{100\%}=\frac{70.40}{88}

\Rightarrow{x} = {80\%}

Therefore, {70.40} is {80\%} of {88}.

#### Solution for 88 is what percent of 70.40:

88:70.40*100 =

(88*100):70.40 =

8800:70.40 = 125

Now we have: 88 is what percent of 70.40 = 125

Question: 88 is what percent of 70.40?

Percentage solution with steps:

Step 1: We make the assumption that 70.40 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\%}={70.40}.

Step 4: In the same vein, {x\%}={88}.

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

{100\%}={70.40}(1).

{x\%}={88}(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{70.40}{88}

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

\frac{x\%}{100\%}=\frac{88}{70.40}

\Rightarrow{x} = {125\%}

Therefore, {88} is {125\%} of {70.40}.

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