19.9 is what percent of 174.5 - 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 174.5 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 174.5, so we can write it down as 100%=174.5.
4. We know, that x% equals 19.9 of the output value, so we can write it down as x%=19.9.
5. Now we have two simple equations:
1) 100%=174.5
2) x%=19.9
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%=174.5/19.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 19.9 is what percent of 174.5

100%/x%=174.5/19.9
(100/x)*x=(174.5/19.9)*x       - we multiply both sides of the equation by x
100=8.7688442211055*x       - we divide both sides of the equation by (8.7688442211055) to get x
100/8.7688442211055=x
11.404011461318=x
x=11.404011461318

now we have:
19.9 is 11.404011461318% of 174.5