238.17 is what percent of 264.89 - 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 264.89 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 264.89, so we can write it down as 100%=264.89.
4. We know, that x% equals 238.17 of the output value, so we can write it down as x%=238.17.
5. Now we have two simple equations:
1) 100%=264.89
2) x%=238.17
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%=264.89/238.17
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 238.17 is what percent of 264.89

100%/x%=264.89/238.17
(100/x)*x=(264.89/238.17)*x       - we multiply both sides of the equation by x
100=1.1121887727254*x       - we divide both sides of the equation by (1.1121887727254) to get x
100/1.1121887727254=x
89.912793989958=x
x=89.912793989958

now we have:
238.17 is 89.912793989958% of 264.89