199.52 is what percent of 263.9 - 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 263.9 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 263.9, so we can write it down as 100%=263.9.
4. We know, that x% equals 199.52 of the output value, so we can write it down as x%=199.52.
5. Now we have two simple equations:
1) 100%=263.9
2) x%=199.52
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%=263.9/199.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 199.52 is what percent of 263.9

100%/x%=263.9/199.52
(100/x)*x=(263.9/199.52)*x       - we multiply both sides of the equation by x
100=1.3226744186047*x       - we divide both sides of the equation by (1.3226744186047) to get x
100/1.3226744186047=x
75.604395604396=x
x=75.604395604396

now we have:
199.52 is 75.604395604396% of 263.9