14.5 is what percent of 828.48 - 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 828.48 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 828.48, so we can write it down as 100%=828.48.
4. We know, that x% equals 14.5 of the output value, so we can write it down as x%=14.5.
5. Now we have two simple equations:
1) 100%=828.48
2) x%=14.5
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%=828.48/14.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 14.5 is what percent of 828.48

100%/x%=828.48/14.5
(100/x)*x=(828.48/14.5)*x       - we multiply both sides of the equation by x
100=57.136551724138*x       - we divide both sides of the equation by (57.136551724138) to get x
100/57.136551724138=x
1.7501931247586=x
x=1.7501931247586

now we have:
14.5 is 1.7501931247586% of 828.48