19.5 is what percent of 112.93 - 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 112.93 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 112.93, so we can write it down as 100%=112.93.
4. We know, that x% equals 19.5 of the output value, so we can write it down as x%=19.5.
5. Now we have two simple equations:
1) 100%=112.93
2) x%=19.5
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%=112.93/19.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 19.5 is what percent of 112.93

100%/x%=112.93/19.5
(100/x)*x=(112.93/19.5)*x       - we multiply both sides of the equation by x
100=5.7912820512821*x       - we divide both sides of the equation by (5.7912820512821) to get x
100/5.7912820512821=x
17.267333746569=x
x=17.267333746569

now we have:
19.5 is 17.267333746569% of 112.93