235.9 is what percent of 274.9 - 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 274.9 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 274.9, so we can write it down as 100%=274.9.
4. We know, that x% equals 235.9 of the output value, so we can write it down as x%=235.9.
5. Now we have two simple equations:
1) 100%=274.9
2) x%=235.9
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%=274.9/235.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 235.9 is what percent of 274.9

100%/x%=274.9/235.9
(100/x)*x=(274.9/235.9)*x       - we multiply both sides of the equation by x
100=1.1653242899534*x       - we divide both sides of the equation by (1.1653242899534) to get x
100/1.1653242899534=x
85.813022917425=x
x=85.813022917425

now we have:
235.9 is 85.813022917425% of 274.9