18.23 is what percent of 17.35 - 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 17.35 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 17.35, so we can write it down as 100%=17.35.
4. We know, that x% equals 18.23 of the output value, so we can write it down as x%=18.23.
5. Now we have two simple equations:
1) 100%=17.35
2) x%=18.23
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%=17.35/18.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 18.23 is what percent of 17.35

100%/x%=17.35/18.23
(100/x)*x=(17.35/18.23)*x       - we multiply both sides of the equation by x
100=0.95172792100933*x       - we divide both sides of the equation by (0.95172792100933) to get x
100/0.95172792100933=x
105.07204610951=x
x=105.07204610951

now we have:
18.23 is 105.07204610951% of 17.35