What is 3.62 percent of 99.3 - 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 99.3 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 99.3 is 100%, so we can write it down as 99.3=100%.
4. We know, that x is 3.62% of the output value, so we can write it down as x=3.62%.
5. Now we have two simple equations:
1) 99.3=100%
2) x=3.62%
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:
99.3/x=100%/3.62%
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 3.62% of 99.3

99.3/x=100/3.62
(99.3/x)*x=(100/3.62)*x       - we multiply both sides of the equation by x
99.3=27.624309392265*x       - we divide both sides of the equation by (27.624309392265) to get x
99.3/27.624309392265=x
3.59466=x
x=3.59466

now we have:
3.62% of 99.3=3.59466