102.4 is what percent of 277.05 - 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 277.05 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 277.05, so we can write it down as 100%=277.05.
4. We know, that x% equals 102.4 of the output value, so we can write it down as x%=102.4.
5. Now we have two simple equations:
1) 100%=277.05
2) x%=102.4
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%=277.05/102.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 102.4 is what percent of 277.05

100%/x%=277.05/102.4
(100/x)*x=(277.05/102.4)*x       - we multiply both sides of the equation by x
100=2.70556640625*x       - we divide both sides of the equation by (2.70556640625) to get x
100/2.70556640625=x
36.960837393972=x
x=36.960837393972

now we have:
102.4 is 36.960837393972% of 277.05