What is 86.98 percent of 7 - 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 7 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 7 is 100%, so we can write it down as 7=100%.
4. We know, that x is 86.98% of the output value, so we can write it down as x=86.98%.
5. Now we have two simple equations:
1) 7=100%
2) x=86.98%
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:
7/x=100%/86.98%
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 86.98% of 7

7/x=100/86.98
(7/x)*x=(100/86.98)*x       - we multiply both sides of the equation by x
7=1.1496895838124*x       - we divide both sides of the equation by (1.1496895838124) to get x
7/1.1496895838124=x
6.0886=x
x=6.0886

now we have:
86.98% of 7=6.0886