1.45 is what percent of 14.45 - 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 14.45 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 14.45, so we can write it down as 100%=14.45.
4. We know, that x% equals 1.45 of the output value, so we can write it down as x%=1.45.
5. Now we have two simple equations:
1) 100%=14.45
2) x%=1.45
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%=14.45/1.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.45 is what percent of 14.45

100%/x%=14.45/1.45
(100/x)*x=(14.45/1.45)*x       - we multiply both sides of the equation by x
100=9.9655172413793*x       - we divide both sides of the equation by (9.9655172413793) to get x
100/9.9655172413793=x
10.034602076125=x
x=10.034602076125

now we have:
1.45 is 10.034602076125% of 14.45