192.32 is what percent of 961.6 - 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 961.6 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 961.6, so we can write it down as 100%=961.6.
4. We know, that x% equals 192.32 of the output value, so we can write it down as x%=192.32.
5. Now we have two simple equations:
1) 100%=961.6
2) x%=192.32
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%=961.6/192.32
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 192.32 is what percent of 961.6

100%/x%=961.6/192.32
(100/x)*x=(961.6/192.32)*x       - we multiply both sides of the equation by x
100=5*x       - we divide both sides of the equation by (5) to get x
100/5=x
20=x
x=20

now we have:
192.32 is 20% of 961.6