36.49 is what percent of 251.79 - 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 251.79 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 251.79, so we can write it down as 100%=251.79.
4. We know, that x% equals 36.49 of the output value, so we can write it down as x%=36.49.
5. Now we have two simple equations:
1) 100%=251.79
2) x%=36.49
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%=251.79/36.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 36.49 is what percent of 251.79

100%/x%=251.79/36.49
(100/x)*x=(251.79/36.49)*x       - we multiply both sides of the equation by x
100=6.9002466429159*x       - we divide both sides of the equation by (6.9002466429159) to get x
100/6.9002466429159=x
14.492235593153=x
x=14.492235593153

now we have:
36.49 is 14.492235593153% of 251.79