17.45 is what percent of 16.78 - 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 16.78 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 16.78, so we can write it down as 100%=16.78.
4. We know, that x% equals 17.45 of the output value, so we can write it down as x%=17.45.
5. Now we have two simple equations:
1) 100%=16.78
2) x%=17.45
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%=16.78/17.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 17.45 is what percent of 16.78

100%/x%=16.78/17.45
(100/x)*x=(16.78/17.45)*x       - we multiply both sides of the equation by x
100=0.96160458452722*x       - we divide both sides of the equation by (0.96160458452722) to get x
100/0.96160458452722=x
103.99284862932=x
x=103.99284862932

now we have:
17.45 is 103.99284862932% of 16.78