What is 7.12 percent of 89.65 - 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 89.65 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 89.65 is 100%, so we can write it down as 89.65=100%.
4. We know, that x is 7.12% of the output value, so we can write it down as x=7.12%.
5. Now we have two simple equations:
1) 89.65=100%
2) x=7.12%
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:
89.65/x=100%/7.12%
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 7.12% of 89.65

89.65/x=100/7.12
(89.65/x)*x=(100/7.12)*x       - we multiply both sides of the equation by x
89.65=14.044943820225*x       - we divide both sides of the equation by (14.044943820225) to get x
89.65/14.044943820225=x
6.38308=x
x=6.38308

now we have:
7.12% of 89.65=6.38308