17.57 is what percent of 19.95 - 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 19.95 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 19.95, so we can write it down as 100%=19.95.
4. We know, that x% equals 17.57 of the output value, so we can write it down as x%=17.57.
5. Now we have two simple equations:
1) 100%=19.95
2) x%=17.57
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%=19.95/17.57
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 17.57 is what percent of 19.95

100%/x%=19.95/17.57
(100/x)*x=(19.95/17.57)*x       - we multiply both sides of the equation by x
100=1.1354581673307*x       - we divide both sides of the equation by (1.1354581673307) to get x
100/1.1354581673307=x
88.070175438597=x
x=88.070175438597

now we have:
17.57 is 88.070175438597% of 19.95