What is 85.625 percent of 320 - 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 320 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 320 is 100%, so we can write it down as 320=100%.
4. We know, that x is 85.625% of the output value, so we can write it down as x=85.625%.
5. Now we have two simple equations:
1) 320=100%
2) x=85.625%
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:
320/x=100%/85.625%
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 85.625% of 320

320/x=100/85.625
(320/x)*x=(100/85.625)*x       - we multiply both sides of the equation by x
320=1.1678832116788*x       - we divide both sides of the equation by (1.1678832116788) to get x
320/1.1678832116788=x
274=x
x=274

now we have:
85.625% of 320=274