148.86 is what percent of 13449.28 - 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 13449.28 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 13449.28, so we can write it down as 100%=13449.28.
4. We know, that x% equals 148.86 of the output value, so we can write it down as x%=148.86.
5. Now we have two simple equations:
1) 100%=13449.28
2) x%=148.86
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%=13449.28/148.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 148.86 is what percent of 13449.28

100%/x%=13449.28/148.86
(100/x)*x=(13449.28/148.86)*x       - we multiply both sides of the equation by x
100=90.348515383582*x       - we divide both sides of the equation by (90.348515383582) to get x
100/90.348515383582=x
1.1068250493707=x
x=1.1068250493707

now we have:
148.86 is 1.1068250493707% of 13449.28