17.43 is what percent of 102.56 - 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 102.56 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 102.56, so we can write it down as 100%=102.56.
4. We know, that x% equals 17.43 of the output value, so we can write it down as x%=17.43.
5. Now we have two simple equations:
1) 100%=102.56
2) x%=17.43
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%=102.56/17.43
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 17.43 is what percent of 102.56

100%/x%=102.56/17.43
(100/x)*x=(102.56/17.43)*x       - we multiply both sides of the equation by x
100=5.8841078600115*x       - we divide both sides of the equation by (5.8841078600115) to get x
100/5.8841078600115=x
16.994929797192=x
x=16.994929797192

now we have:
17.43 is 16.994929797192% of 102.56