.ar-calculator-wrapper {
max-width: 600px;
margin: 20px auto;
padding: 30px;
background-color: #f9f9f9;
border: 1px solid #e0e0e0;
border-radius: 8px;
font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, Helvetica, Arial, sans-serif;
box-shadow: 0 4px 6px rgba(0,0,0,0.05);
}
.ar-calculator-wrapper h3 {
text-align: center;
margin-top: 0;
color: #333;
}
.ar-input-group {
margin-bottom: 20px;
}
.ar-input-group label {
display: block;
font-weight: 600;
margin-bottom: 8px;
color: #555;
}
.ar-input-group input {
width: 100%;
padding: 12px;
border: 1px solid #ccc;
border-radius: 4px;
font-size: 16px;
box-sizing: border-box;
}
.ar-input-group input:focus {
border-color: #0073aa;
outline: none;
}
.ar-calc-btn {
width: 100%;
padding: 15px;
background-color: #0073aa;
color: white;
border: none;
border-radius: 4px;
font-size: 18px;
font-weight: bold;
cursor: pointer;
transition: background-color 0.3s;
}
.ar-calc-btn:hover {
background-color: #005177;
}
.ar-result-box {
margin-top: 25px;
padding: 20px;
background-color: #fff;
border: 1px solid #ddd;
border-radius: 4px;
display: none;
}
.ar-result-row {
display: flex;
justify-content: space-between;
margin-bottom: 10px;
font-size: 16px;
}
.ar-result-row.total {
margin-top: 15px;
padding-top: 15px;
border-top: 2px solid #eee;
font-weight: bold;
font-size: 20px;
color: #2c3e50;
}
.ar-error {
color: #d32f2f;
font-size: 14px;
margin-top: 5px;
display: none;
}
.ar-visualization {
margin-top: 15px;
height: 20px;
background-color: #e0e0e0;
border-radius: 10px;
overflow: hidden;
position: relative;
}
.ar-vis-bar {
height: 100%;
background-color: #28a745;
width: 0%;
transition: width 0.5s ease-in-out;
}
function calculateApprovalRate() {
// Get input values
var totalInput = document.getElementById('ar_total_apps');
var approvedInput = document.getElementById('ar_approved_count');
var errorDiv = document.getElementById('ar_error_msg');
var resultBox = document.getElementById('ar_results');
var total = parseFloat(totalInput.value);
var approved = parseFloat(approvedInput.value);
// Reset error state
errorDiv.style.display = 'none';
errorDiv.innerHTML = ";
resultBox.style.display = 'none';
// Validation logic
if (isNaN(total) || total <= 0) {
alert("Please enter a valid total number of applications (must be greater than 0).");
return;
}
if (isNaN(approved) || approved total) {
errorDiv.innerHTML = "Approvals cannot exceed total applications.";
errorDiv.style.display = 'block';
return;
}
// Calculation logic
var approvalRate = (approved / total) * 100;
var rejected = total – approved;
var rejectionRate = (rejected / total) * 100;
// Display results
document.getElementById('res_total').innerHTML = total.toLocaleString();
document.getElementById('res_rejected').innerHTML = rejected.toLocaleString();
// Formatting percentages to 2 decimal places
document.getElementById('res_app_rate').innerHTML = approvalRate.toFixed(2) + '%';
document.getElementById('res_rej_rate').innerHTML = rejectionRate.toFixed(2) + '%';
// Update Visualization Bar
document.getElementById('ar_vis_bar').style.width = approvalRate + '%';
// Change color based on rate (Visual feedback)
var bar = document.getElementById('ar_vis_bar');
if(approvalRate < 50) {
bar.style.backgroundColor = '#dc3545'; // Red
} else if (approvalRate < 80) {
bar.style.backgroundColor = '#ffc107'; // Yellow
} else {
bar.style.backgroundColor = '#28a745'; // Green
}
resultBox.style.display = 'block';
}
How to Calculate Approval Rate
Calculating an approval rate is a fundamental metric used in various industries, from finance and lending to software testing and college admissions. Essentially, it measures the percentage of requests, applications, or items that meet a specific set of criteria compared to the total number submitted.
Understanding your approval rate helps in identifying the efficiency of a process, the quality of incoming leads, or the strictness of acceptance criteria.
The Approval Rate Formula
The math behind calculating an approval rate is straightforward. It involves a simple ratio of successes to total attempts, multiplied by 100 to get a percentage.
Approval Rate (%) = (Number of Approvals / Total Number of Applications) × 100
Step-by-Step Calculation Guide
- Determine the Total Volume: Count the total number of applications, requests, or items processed during a specific time frame. This is your denominator.
- Count the Approvals: Count how many of those specific applications were successfully approved or accepted. This is your numerator.
- Divide: Divide the number of approvals by the total number of applications.
- Convert to Percentage: Multiply the result by 100 to get the percentage.
Real-World Examples
Example 1: Mortgage Lending
A bank receives 500 loan applications in a month. After underwriting review, 375 of these loans are funded (approved), while the rest are denied.
- Calculation: 375 ÷ 500 = 0.75
- Approval Rate: 0.75 × 100 = 75%
Example 2: Software Quality Assurance (Pass Rate)
A QA team runs a suite of 1,200 automated tests. 1,140 tests pass successfully without bugs.
- Calculation: 1,140 ÷ 1,200 = 0.95
- Approval (Pass) Rate: 0.95 × 100 = 95%
Why is Approval Rate Important?
Monitoring this metric provides critical insights:
- Process Efficiency: A surprisingly low approval rate might indicate that the application process is too confusing, leading to errors and automatic rejections.
- Lead Quality: In marketing, a low approval rate for leads often means the marketing campaign is targeting the wrong audience.
- Risk Management: In finance, an approval rate that is too high might suggest that lending criteria are too loose, potentially increasing the risk of default.
Inverse Metric: Rejection Rate
The flip side of the approval rate is the rejection rate. If your approval rate is 80%, your rejection rate is naturally 20%.
Rejection Rate = 100% – Approval Rate
Use the calculator above to instantly determine both metrics based on your specific data inputs.