40% of 70% may seem difficult, but parsing the expression's different parts is essential to being able to understand this
"Of" is an indicator of multiplication. Knowing this, the expressions changes to \(40\%*70\%\).
\(40\%*70\%\) | A number in a percentage is the same as the number over 100. |
\(\frac{40}{100}*\frac{70}{100}\) | Simplify both fractions with its GCF. |
\(\frac{2}{5}*\frac{7}{10}\) | Now, multiply both the fractions. |
\(\frac{14}{50}=0.28=28\%\) | |
Don't get confused by the idea of 'per cent X another per cent' which I think is bothering you. 'Per Cent' just means
'hundredth'.
So 40 per cent X 70 per cent is just 40 hundredths X 70 hundredths.
Which is 40/100 X 70/100
Which is 4/10 X 7/10 =28/100 which is 28 hundredths which is 28%.