49599.15 is what percent of 295500 - 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 295500 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 295500, so we can write it down as 100%=295500.
4. We know, that x% equals 49599.15 of the output value, so we can write it down as x%=49599.15.
5. Now we have two simple equations:
1) 100%=295500
2) x%=49599.15
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%=295500/49599.15
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 49599.15 is what percent of 295500

100%/x%=295500/49599.15
(100/x)*x=(295500/49599.15)*x       - we multiply both sides of the equation by x
100=5.9577633890903*x       - we divide both sides of the equation by (5.9577633890903) to get x
100/5.9577633890903=x
16.784822335025=x
x=16.784822335025

now we have:
49599.15 is 16.784822335025% of 295500