174.42 is what percent of 1944 - 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 1944 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 1944, so we can write it down as 100%=1944.
4. We know, that x% equals 174.42 of the output value, so we can write it down as x%=174.42.
5. Now we have two simple equations:
1) 100%=1944
2) x%=174.42
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%=1944/174.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 174.42 is what percent of 1944

100%/x%=1944/174.42
(100/x)*x=(1944/174.42)*x       - we multiply both sides of the equation by x
100=11.145510835913*x       - we divide both sides of the equation by (11.145510835913) to get x
100/11.145510835913=x
8.9722222222222=x
x=8.9722222222222

now we have:
174.42 is 8.9722222222222% of 1944