101.49 is what percent of 1408.58 - 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 1408.58 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 1408.58, so we can write it down as 100%=1408.58.
4. We know, that x% equals 101.49 of the output value, so we can write it down as x%=101.49.
5. Now we have two simple equations:
1) 100%=1408.58
2) x%=101.49
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%=1408.58/101.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 101.49 is what percent of 1408.58

100%/x%=1408.58/101.49
(100/x)*x=(1408.58/101.49)*x       - we multiply both sides of the equation by x
100=13.879002857424*x       - we divide both sides of the equation by (13.879002857424) to get x
100/13.879002857424=x
7.2051285691973=x
x=7.2051285691973

now we have:
101.49 is 7.2051285691973% of 1408.58