118.44 is what percent of 65800 - 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 65800 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 65800, so we can write it down as 100%=65800.
4. We know, that x% equals 118.44 of the output value, so we can write it down as x%=118.44.
5. Now we have two simple equations:
1) 100%=65800
2) x%=118.44
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%=65800/118.44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 118.44 is what percent of 65800

100%/x%=65800/118.44
(100/x)*x=(65800/118.44)*x       - we multiply both sides of the equation by x
100=555.55555555556*x       - we divide both sides of the equation by (555.55555555556) to get x
100/555.55555555556=x
0.18=x
x=0.18

now we have:
118.44 is 0.18% of 65800