17.72 is what percent of 19.915 - 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 19.915 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 19.915, so we can write it down as 100%=19.915.
4. We know, that x% equals 17.72 of the output value, so we can write it down as x%=17.72.
5. Now we have two simple equations:
1) 100%=19.915
2) x%=17.72
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%=19.915/17.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 17.72 is what percent of 19.915

100%/x%=19.915/17.72
(100/x)*x=(19.915/17.72)*x       - we multiply both sides of the equation by x
100=1.1238713318284*x       - we divide both sides of the equation by (1.1238713318284) to get x
100/1.1238713318284=x
88.978157167964=x
x=88.978157167964

now we have:
17.72 is 88.978157167964% of 19.915