277.99 is what percent of 235.99 - 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 235.99 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 235.99, so we can write it down as 100%=235.99.
4. We know, that x% equals 277.99 of the output value, so we can write it down as x%=277.99.
5. Now we have two simple equations:
1) 100%=235.99
2) x%=277.99
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%=235.99/277.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 277.99 is what percent of 235.99

100%/x%=235.99/277.99
(100/x)*x=(235.99/277.99)*x       - we multiply both sides of the equation by x
100=0.84891542861254*x       - we divide both sides of the equation by (0.84891542861254) to get x
100/0.84891542861254=x
117.7973642951=x
x=117.7973642951

now we have:
277.99 is 117.7973642951% of 235.99