Practice · Grade 7 Percentages
Goal Progress Practice — Problems
Problems on goal attainment in rising difficulty plus a boss question. current ÷ target · 100, the remainder, a hint and working per problem. Grade 7, free.
Q1 of 7
0 correct
Work out the goal progress in percent.
750 ÷ 1,000 · 100
Quick answer
How do I practise goal progress best?
Work through several problems in rising difficulty using current ÷ target · 100. Start with clear cases like 750 out of 1,000 = 75%, then practise the remainder (target − current) and values over 100%, such as 1,200 out of 1,000 = 120%. Always keep the target in the denominator and work out the fraction as a decimal before you multiply by 100.
HowTo
A 4-step solving strategy
This order works for any current-vs-target comparison — no matter how big the numbers are.
- 1Step 1 of 4
Pick out current and target
Read the value reached (current) and the goal (target) from the problem. The target is the whole and equals 100%. Example: current = 750, target = 1,000.
- 2Step 2 of 4
Divide current by target
Form the fraction as a decimal: 750 ÷ 1000 = 0.75. Make sure the target sits in the denominator — the most common mistake is swapping current and target.
- 3Step 3 of 4
Multiply by 100
Turn the fraction into a percentage: 0.75 · 100 = 75%. If the fraction is above 1, the result is over 100% — the target was exceeded.
- 4Step 4 of 4
Find the remainder and check
The remainder is an absolute number: target − current = 1000 − 750 = 250. Sanity-check the result: 75% of 1,000 is 750 — correct.
Examples
Worked examples with full working
Three typical problem types. Try each yourself first, then compare with the working.
Easy
Work out: 750 out of 1,000 in percent.
750 ÷ 1000 = 0.75
0.75 · 100 = 75%
Check: 75% of 1,000 = 0.75 · 1000 = 750 ✓
Standard case. The target (1,000) is the whole. Remainder: 1000 − 750 = 250.
Medium
Work out: 1,200 out of 1,000 in percent.
1200 ÷ 1000 = 1.2
1.2 · 100 = 120%
Check: 120% of 1,000 = 1.2 · 1000 = 1200 ✓
Over 100% is not an error — the target was exceeded. The remainder is negative (−200), so nothing is left.
Medium
Work out: 8,500 out of 10,000 in percent.
8500 ÷ 10000 = 0.85
0.85 · 100 = 85%
Check: 85% of 10,000 = 0.85 · 10000 = 8500 ✓
Bigger numbers, same method. Remainder: 10000 − 8500 = 1500.
Pitfalls
Common mistakes — and how to avoid them
These traps show up most often while practising.
Current and target swapped
The target always goes in the denominator, the current value in the numerator. Swap them and you get the wrong percentage.
Reading over 100% as an error
More than 100% is a valid result — the target was exceeded. Don't force it down to 100%.
Confusing the remainder with percent
The remainder is an absolute number (target − current) in the unit of your goal, not a percentage. 250 is not 250%.
Forgetting to multiply by 100
750 ÷ 1000 = 0.75 is only the fraction. The result is in percent only after ‘· 100’: 75%.
Rounding awkward values wrong
13,500 ÷ 12,000 = 1.125 → 112.5%. Don't just chop off the decimal; round the way the calculator shows it.
Study
Practise with a plan — three quick tips
Estimate first, then calculate
If the current value is roughly half the target, expect around 50%. This estimate exposes swaps and rough errors instantly.
Always write the fraction as a decimal
Note it step by step: first current ÷ target = 0.xx, then · 100. That way you never forget the multiplication by 100.
For every wrong answer: why?
Was it swapping current and target? A forgotten multiplication? Note the cause and you'll spot the mistake instantly next time.
FAQ
Frequently asked questions about practising
Glossary
Terms in one sentence
- Goal attainment
- The share of a goal already reached, in percent: current ÷ target · 100.
- Current value
- The value reached so far; it sits in the numerator of the formula.
- Target value
- The set goal; the whole (100%) and it sits in the denominator.
- Whole (base)
- The reference value that equals 100% — here the target.
- Part (value)
- The calculated share in percent, e.g. 75%.
- Remainder
- The absolute difference target − current; tells you how much is left.
- Boss question
- The last and hardest problem in a practice set.