Answer :
To find the percent decrease from 98.5 to 52.6, follow these steps:
1. Determine the Difference:
Subtract the new value from the original value to find the drop in value.
[tex]\[
\text{Difference} = 98.5 - 52.6 = 45.9
\][/tex]
2. Calculate the Percent Decrease:
To find the percent decrease, divide the difference by the original value, then multiply the result by 100.
[tex]\[
\text{Percent Decrease} = \left(\frac{\text{Difference}}{\text{Original Value}}\right) \times 100 = \left(\frac{45.9}{98.5}\right) \times 100
\][/tex]
3. Convert to a Percent:
Simplifying the calculation gives:
[tex]\[
\text{Percent Decrease} = 46.598984771573605
\][/tex]
4. Round the Result:
To finalize the answer, round 46.598984771573605 to the nearest tenth of a percent.
[tex]\[
\text{Rounded Percent Decrease} = 46.6\%
\][/tex]
So, the percent decrease from 98.5 to 52.6 is 46.6%.
1. Determine the Difference:
Subtract the new value from the original value to find the drop in value.
[tex]\[
\text{Difference} = 98.5 - 52.6 = 45.9
\][/tex]
2. Calculate the Percent Decrease:
To find the percent decrease, divide the difference by the original value, then multiply the result by 100.
[tex]\[
\text{Percent Decrease} = \left(\frac{\text{Difference}}{\text{Original Value}}\right) \times 100 = \left(\frac{45.9}{98.5}\right) \times 100
\][/tex]
3. Convert to a Percent:
Simplifying the calculation gives:
[tex]\[
\text{Percent Decrease} = 46.598984771573605
\][/tex]
4. Round the Result:
To finalize the answer, round 46.598984771573605 to the nearest tenth of a percent.
[tex]\[
\text{Rounded Percent Decrease} = 46.6\%
\][/tex]
So, the percent decrease from 98.5 to 52.6 is 46.6%.
