20.05 is what percent of 17.52 - 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 17.52 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 17.52, so we can write it down as 100%=17.52.
4. We know, that x% equals 20.05 of the output value, so we can write it down as x%=20.05.
5. Now we have two simple equations:
1) 100%=17.52
2) x%=20.05
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%=17.52/20.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20.05 is what percent of 17.52

100%/x%=17.52/20.05
(100/x)*x=(17.52/20.05)*x       - we multiply both sides of the equation by x
100=0.87381546134663*x       - we divide both sides of the equation by (0.87381546134663) to get x
100/0.87381546134663=x
114.44063926941=x
x=114.44063926941

now we have:
20.05 is 114.44063926941% of 17.52