118500 is what percent of 260700 - 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 260700 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 260700, so we can write it down as 100%=260700.
4. We know, that x% equals 118500 of the output value, so we can write it down as x%=118500.
5. Now we have two simple equations:
1) 100%=260700
2) x%=118500
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%=260700/118500
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 118500 is what percent of 260700

100%/x%=260700/118500
(100/x)*x=(260700/118500)*x       - we multiply both sides of the equation by x
100=2.2*x       - we divide both sides of the equation by (2.2) to get x
100/2.2=x
45.454545454545=x
x=45.454545454545

now we have:
118500 is 45.454545454545% of 260700