What is 51.6 percent of 85.4 - 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 85.4 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 85.4 is 100%, so we can write it down as 85.4=100%.
4. We know, that x is 51.6% of the output value, so we can write it down as x=51.6%.
5. Now we have two simple equations:
1) 85.4=100%
2) x=51.6%
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:
85.4/x=100%/51.6%
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 51.6% of 85.4

85.4/x=100/51.6
(85.4/x)*x=(100/51.6)*x       - we multiply both sides of the equation by x
85.4=1.937984496124*x       - we divide both sides of the equation by (1.937984496124) to get x
85.4/1.937984496124=x
44.0664=x
x=44.0664

now we have:
51.6% of 85.4=44.0664