172.1 is what percent of 889.1 - 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 889.1 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 889.1, so we can write it down as 100%=889.1.
4. We know, that x% equals 172.1 of the output value, so we can write it down as x%=172.1.
5. Now we have two simple equations:
1) 100%=889.1
2) x%=172.1
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%=889.1/172.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 172.1 is what percent of 889.1

100%/x%=889.1/172.1
(100/x)*x=(889.1/172.1)*x       - we multiply both sides of the equation by x
100=5.1661824520628*x       - we divide both sides of the equation by (5.1661824520628) to get x
100/5.1661824520628=x
19.356652794961=x
x=19.356652794961

now we have:
172.1 is 19.356652794961% of 889.1