What is 87.7 percent of 85.6 - 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 85.6 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 85.6 is 100%, so we can write it down as 85.6=100%.
4. We know, that x is 87.7% of the output value, so we can write it down as x=87.7%.
5. Now we have two simple equations:
1) 85.6=100%
2) x=87.7%
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:
85.6/x=100%/87.7%
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 87.7% of 85.6

85.6/x=100/87.7
(85.6/x)*x=(100/87.7)*x       - we multiply both sides of the equation by x
85.6=1.1402508551881*x       - we divide both sides of the equation by (1.1402508551881) to get x
85.6/1.1402508551881=x
75.0712=x
x=75.0712

now we have:
87.7% of 85.6=75.0712