What is 93.5 percent of 10.38 - 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 10.38 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 10.38 is 100%, so we can write it down as 10.38=100%.
4. We know, that x is 93.5% of the output value, so we can write it down as x=93.5%.
5. Now we have two simple equations:
1) 10.38=100%
2) x=93.5%
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:
10.38/x=100%/93.5%
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 93.5% of 10.38

10.38/x=100/93.5
(10.38/x)*x=(100/93.5)*x       - we multiply both sides of the equation by x
10.38=1.0695187165775*x       - we divide both sides of the equation by (1.0695187165775) to get x
10.38/1.0695187165775=x
9.7053=x
x=9.7053

now we have:
93.5% of 10.38=9.7053