86.98 is what percent of 795 - 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 795 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 100% equals 795, so we can write it down as 100%=795.
4. We know, that x% equals 86.98 of the output value, so we can write it down as x%=86.98.
5. Now we have two simple equations:
1) 100%=795
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:
100%/x%=795/86.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 86.98 is what percent of 795

100%/x%=795/86.98
(100/x)*x=(795/86.98)*x       - we multiply both sides of the equation by x
100=9.1400321913083*x       - we divide both sides of the equation by (9.1400321913083) to get x
100/9.1400321913083=x
10.940880503145=x
x=10.940880503145

now we have:
86.98 is 10.940880503145% of 795