What is 2.96 percent of 98.69 - 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 98.69 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 98.69 is 100%, so we can write it down as 98.69=100%.
4. We know, that x is 2.96% of the output value, so we can write it down as x=2.96%.
5. Now we have two simple equations:
1) 98.69=100%
2) x=2.96%
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:
98.69/x=100%/2.96%
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 2.96% of 98.69

98.69/x=100/2.96
(98.69/x)*x=(100/2.96)*x       - we multiply both sides of the equation by x
98.69=33.783783783784*x       - we divide both sides of the equation by (33.783783783784) to get x
98.69/33.783783783784=x
2.921224=x
x=2.921224

now we have:
2.96% of 98.69=2.921224