195.28 is what percent of 400 - 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 400 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 400, so we can write it down as 100%=400.
4. We know, that x% equals 195.28 of the output value, so we can write it down as x%=195.28.
5. Now we have two simple equations:
1) 100%=400
2) x%=195.28
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%=400/195.28
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 195.28 is what percent of 400

100%/x%=400/195.28
(100/x)*x=(400/195.28)*x       - we multiply both sides of the equation by x
100=2.0483408439164*x       - we divide both sides of the equation by (2.0483408439164) to get x
100/2.0483408439164=x
48.82=x
x=48.82

now we have:
195.28 is 48.82% of 400