195.32 is what percent of 945.72 - 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 945.72 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 945.72, so we can write it down as 100%=945.72.
4. We know, that x% equals 195.32 of the output value, so we can write it down as x%=195.32.
5. Now we have two simple equations:
1) 100%=945.72
2) x%=195.32
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%=945.72/195.32
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 195.32 is what percent of 945.72

100%/x%=945.72/195.32
(100/x)*x=(945.72/195.32)*x       - we multiply both sides of the equation by x
100=4.8419004710219*x       - we divide both sides of the equation by (4.8419004710219) to get x
100/4.8419004710219=x
20.653047413611=x
x=20.653047413611

now we have:
195.32 is 20.653047413611% of 945.72