What is 10.77 percent of 90.275 - 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 90.275 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 90.275 is 100%, so we can write it down as 90.275=100%.
4. We know, that x is 10.77% of the output value, so we can write it down as x=10.77%.
5. Now we have two simple equations:
1) 90.275=100%
2) x=10.77%
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:
90.275/x=100%/10.77%
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 10.77% of 90.275

90.275/x=100/10.77
(90.275/x)*x=(100/10.77)*x       - we multiply both sides of the equation by x
90.275=9.2850510677809*x       - we divide both sides of the equation by (9.2850510677809) to get x
90.275/9.2850510677809=x
9.7226175=x
x=9.7226175

now we have:
10.77% of 90.275=9.7226175