15.49 is what percent of 15.35 - 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 15.35 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 15.35, so we can write it down as 100%=15.35.
4. We know, that x% equals 15.49 of the output value, so we can write it down as x%=15.49.
5. Now we have two simple equations:
1) 100%=15.35
2) x%=15.49
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%=15.35/15.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 15.49 is what percent of 15.35

100%/x%=15.35/15.49
(100/x)*x=(15.35/15.49)*x       - we multiply both sides of the equation by x
100=0.99096191091026*x       - we divide both sides of the equation by (0.99096191091026) to get x
100/0.99096191091026=x
100.91205211726=x
x=100.91205211726

now we have:
15.49 is 100.91205211726% of 15.35