15.48 is what percent of 498.67 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 498.67 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 498.67, so we can write it down as 100%=498.67.
4. We know, that x% equals 15.48 of the output value, so we can write it down as x%=15.48.
5. Now we have two simple equations:
1) 100%=498.67
2) x%=15.48
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=498.67/15.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 15.48 is what percent of 498.67

100%/x%=498.67/15.48
(100/x)*x=(498.67/15.48)*x       - we multiply both sides of the equation by x
100=32.213824289406*x       - we divide both sides of the equation by (32.213824289406) to get x
100/32.213824289406=x
3.1042573244831=x
x=3.1042573244831

now we have:
15.48 is 3.1042573244831% of 498.67