SGPA to Percentage Calculator

SGPA & CGPA Calculator

Select a tab. Results update instantly. No data leaves your browser.

SGPA: % = (SGPA × 10) − 7.5
-

CGPA ⇄ Percentage Formula Table

Name CGPA → % % → CGPA Example (CGPA 7.2)
CBSE % = CGPA × 9.5 CGPA = % ÷ 9.5 7.2 × 9.5 = 68.4%
AICTE % = (CGPA − 0.5) × 10 CGPA = (% ÷ 10) + 0.5 (7.2 − 0.5) × 10 = 67%
Simple % = CGPA × 10 CGPA = % ÷ 10 7.2 × 10 = 72%

Choose the formula officially issued by your board/university. Results differ slightly.

Full Conversion Tables (10 / 5 / 4 Point)

Reference mappings generated with standard linear assumptions. Always verify with your institution; some use alternative mappings or rounding policies.

10-Point Scale (CGPA 0.0 – 10.0)

Conversion using CBSE formula (CGPA × 9.5). Values rounded to 2 decimals.

5-Point Scale (CGPA 0.0 – 5.0)

Percentage = (GPA ÷ 5) × 100. 10-Point Approx = GPA × 2 (pure linear expansion). Institution-specific schemes may differ.

4-Point Scale (CGPA 0.0 – 4.0)

Percentage = (GPA ÷ 4) × 100. 10-Point Approx = GPA × 2.5 (scales 4 → 10). Some US / international transcripts use non-linear or letter grade bands; treat this as approximate.

How Conversions Work

Institutions publish linear mappings between CGPA and percentage. This tool applies pure arithmetic without extra rounding. Always verify with official documents if a specific rounding (e.g. up to 2 decimals, banker's rounding) is mandated.

  • Linear scaling: Each formula is of form percentage = a × CGPA + b.
  • Inverse: Solve for CGPA to get CGPA = (percentage − b) / a.
  • Average CGPA (from SGPA): CGPA = (SGPA1 + SGPA2 + … + SGPAn) ÷ n.

Formulas Used

  • SGPA → Percentage: % = (SGPA × 10) − 7.5
  • Percentage → SGPA: SGPA = (% + 7.5) ÷ 10
  • 10-point (CBSE): % = CGPA × 9.5 • inverse: CGPA = % ÷ 9.5
  • 10-point (AICTE): % = (CGPA − 0.5) × 10 • inverse: CGPA = (% ÷ 10) + 0.5
  • 10-point (Simple): % = CGPA × 10 • inverse: CGPA = % ÷ 10
  • 5-point (GPA): % = (GPA ÷ 5) × 100 • inverse: GPA = (% ÷ 100) × 5
  • 4-point (GPA): % = (GPA ÷ 4) × 100 • inverse: GPA = (% ÷ 100) × 4

FAQ

Why are there multiple formulas?

Different boards/universities publish different conversion notifications. Always use the officially prescribed one for transcripts.

Are these exact?

They replicate published linear conversions. Some institutions may apply additional rounding; consult official documents.

Is my data saved?

No. Everything is computed locally.

Can I add a custom formula?

Feature planned. For now choose the closest or contact us to suggest one.

Disclaimer

This tool is for informational use. Verify conversions with your university before using in official applications.

//]]>