199.36 is what percent of 801.3 - 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 801.3 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 801.3, so we can write it down as 100%=801.3.
4. We know, that x% equals 199.36 of the output value, so we can write it down as x%=199.36.
5. Now we have two simple equations:
1) 100%=801.3
2) x%=199.36
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%=801.3/199.36
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 199.36 is what percent of 801.3

100%/x%=801.3/199.36
(100/x)*x=(801.3/199.36)*x       - we multiply both sides of the equation by x
100=4.0193619582665*x       - we divide both sides of the equation by (4.0193619582665) to get x
100/4.0193619582665=x
24.879570697616=x
x=24.879570697616

now we have:
199.36 is 24.879570697616% of 801.3