Solution for 122 is what percent of 180:
122:180*100 =
(122*100):180 =
12200:180 = 67.78
Now we have: 122 is what percent of 180 = 67.78
Question: 122 is what percent of 180?
Percentage solution with steps:
Step 1: We make the assumption that 180 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\%}={180}.
Step 4: In the same vein, {x\%}={122}.
Step 5: This gives us a pair of simple equations:
{100\%}={180}(1).
{x\%}={122}(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{180}{122}
Step 7: Taking the inverse (or reciprocal) of both sides yields
\frac{x\%}{100\%}=\frac{122}{180}
\Rightarrow{x} = {67.78\%}
Therefore, {122} is {67.78\%} of {180}.
Solution for 180 is what percent of 122:
180:122*100 =
(180*100):122 =
18000:122 = 147.54
Now we have: 180 is what percent of 122 = 147.54
Question: 180 is what percent of 122?
Percentage solution with steps:
Step 1: We make the assumption that 122 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\%}={122}.
Step 4: In the same vein, {x\%}={180}.
Step 5: This gives us a pair of simple equations:
{100\%}={122}(1).
{x\%}={180}(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{122}{180}
Step 7: Taking the inverse (or reciprocal) of both sides yields
\frac{x\%}{100\%}=\frac{180}{122}
\Rightarrow{x} = {147.54\%}
Therefore, {180} is {147.54\%} of {122}.
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