What is 9.45 percent of 784.35 - 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 784.35 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 784.35 is 100%, so we can write it down as 784.35=100%.
4. We know, that x is 9.45% of the output value, so we can write it down as x=9.45%.
5. Now we have two simple equations:
1) 784.35=100%
2) x=9.45%
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:
784.35/x=100%/9.45%
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 9.45% of 784.35

784.35/x=100/9.45
(784.35/x)*x=(100/9.45)*x       - we multiply both sides of the equation by x
784.35=10.582010582011*x       - we divide both sides of the equation by (10.582010582011) to get x
784.35/10.582010582011=x
74.121075=x
x=74.121075

now we have:
9.45% of 784.35=74.121075