16.29 is what percent of 18.89 - 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 18.89 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 18.89, so we can write it down as 100%=18.89.
4. We know, that x% equals 16.29 of the output value, so we can write it down as x%=16.29.
5. Now we have two simple equations:
1) 100%=18.89
2) x%=16.29
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%=18.89/16.29
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.29 is what percent of 18.89

100%/x%=18.89/16.29
(100/x)*x=(18.89/16.29)*x       - we multiply both sides of the equation by x
100=1.1596071209331*x       - we divide both sides of the equation by (1.1596071209331) to get x
100/1.1596071209331=x
86.236103758602=x
x=86.236103758602

now we have:
16.29 is 86.236103758602% of 18.89