What is 8.62 percent of 74.35 - 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 74.35 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 74.35 is 100%, so we can write it down as 74.35=100%.
4. We know, that x is 8.62% of the output value, so we can write it down as x=8.62%.
5. Now we have two simple equations:
1) 74.35=100%
2) x=8.62%
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:
74.35/x=100%/8.62%
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 8.62% of 74.35

74.35/x=100/8.62
(74.35/x)*x=(100/8.62)*x       - we multiply both sides of the equation by x
74.35=11.600928074246*x       - we divide both sides of the equation by (11.600928074246) to get x
74.35/11.600928074246=x
6.40897=x
x=6.40897

now we have:
8.62% of 74.35=6.40897