2.15 is what percent of 17.53 - 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 17.53 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 17.53, so we can write it down as 100%=17.53.
4. We know, that x% equals 2.15 of the output value, so we can write it down as x%=2.15.
5. Now we have two simple equations:
1) 100%=17.53
2) x%=2.15
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%=17.53/2.15
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.15 is what percent of 17.53

100%/x%=17.53/2.15
(100/x)*x=(17.53/2.15)*x       - we multiply both sides of the equation by x
100=8.153488372093*x       - we divide both sides of the equation by (8.153488372093) to get x
100/8.153488372093=x
12.264689104392=x
x=12.264689104392

now we have:
2.15 is 12.264689104392% of 17.53