14.5 is what percent of 772.5 - 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 772.5 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 772.5, so we can write it down as 100%=772.5.
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%=772.5
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%=772.5/14.5
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 772.5

100%/x%=772.5/14.5
(100/x)*x=(772.5/14.5)*x       - we multiply both sides of the equation by x
100=53.275862068966*x       - we divide both sides of the equation by (53.275862068966) to get x
100/53.275862068966=x
1.8770226537217=x
x=1.8770226537217

now we have:
14.5 is 1.8770226537217% of 772.5