What is 85.8 percent of 260 - 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 260 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 260 is 100%, so we can write it down as 260=100%.
4. We know, that x is 85.8% of the output value, so we can write it down as x=85.8%.
5. Now we have two simple equations:
1) 260=100%
2) x=85.8%
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:
260/x=100%/85.8%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 85.8% of 260

260/x=100/85.8
(260/x)*x=(100/85.8)*x       - we multiply both sides of the equation by x
260=1.1655011655012*x       - we divide both sides of the equation by (1.1655011655012) to get x
260/1.1655011655012=x
223.08=x
x=223.08

now we have:
85.8% of 260=223.08