14.51 is what percent of 1.45 - 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 1.45 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 1.45, so we can write it down as 100%=1.45.
4. We know, that x% equals 14.51 of the output value, so we can write it down as x%=14.51.
5. Now we have two simple equations:
1) 100%=1.45
2) x%=14.51
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%=1.45/14.51
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 14.51 is what percent of 1.45

100%/x%=1.45/14.51
(100/x)*x=(1.45/14.51)*x       - we multiply both sides of the equation by x
100=0.099931082012405*x       - we divide both sides of the equation by (0.099931082012405) to get x
100/0.099931082012405=x
1000.6896551724=x
x=1000.6896551724

now we have:
14.51 is 1000.6896551724% of 1.45