15.02 is what percent of 277.24 - 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 277.24 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 277.24, so we can write it down as 100%=277.24.
4. We know, that x% equals 15.02 of the output value, so we can write it down as x%=15.02.
5. Now we have two simple equations:
1) 100%=277.24
2) x%=15.02
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%=277.24/15.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 15.02 is what percent of 277.24

100%/x%=277.24/15.02
(100/x)*x=(277.24/15.02)*x       - we multiply both sides of the equation by x
100=18.458055925433*x       - we divide both sides of the equation by (18.458055925433) to get x
100/18.458055925433=x
5.4176886452171=x
x=5.4176886452171

now we have:
15.02 is 5.4176886452171% of 277.24