What is 8.77 percent of 203.2 - 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 203.2 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 203.2 is 100%, so we can write it down as 203.2=100%.
4. We know, that x is 8.77% of the output value, so we can write it down as x=8.77%.
5. Now we have two simple equations:
1) 203.2=100%
2) x=8.77%
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:
203.2/x=100%/8.77%
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 8.77% of 203.2

203.2/x=100/8.77
(203.2/x)*x=(100/8.77)*x       - we multiply both sides of the equation by x
203.2=11.402508551881*x       - we divide both sides of the equation by (11.402508551881) to get x
203.2/11.402508551881=x
17.82064=x
x=17.82064

now we have:
8.77% of 203.2=17.82064