7.25 is what percent of 499.8 - 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 499.8 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 499.8, so we can write it down as 100%=499.8.
4. We know, that x% equals 7.25 of the output value, so we can write it down as x%=7.25.
5. Now we have two simple equations:
1) 100%=499.8
2) x%=7.25
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%=499.8/7.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.25 is what percent of 499.8

100%/x%=499.8/7.25
(100/x)*x=(499.8/7.25)*x       - we multiply both sides of the equation by x
100=68.937931034483*x       - we divide both sides of the equation by (68.937931034483) to get x
100/68.937931034483=x
1.4505802320928=x
x=1.4505802320928

now we have:
7.25 is 1.4505802320928% of 499.8