172.95 is what percent of 903.9 - 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 903.9 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 903.9, so we can write it down as 100%=903.9.
4. We know, that x% equals 172.95 of the output value, so we can write it down as x%=172.95.
5. Now we have two simple equations:
1) 100%=903.9
2) x%=172.95
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%=903.9/172.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 172.95 is what percent of 903.9

100%/x%=903.9/172.95
(100/x)*x=(903.9/172.95)*x       - we multiply both sides of the equation by x
100=5.2263660017346*x       - we divide both sides of the equation by (5.2263660017346) to get x
100/5.2263660017346=x
19.13375373382=x
x=19.13375373382

now we have:
172.95 is 19.13375373382% of 903.9