69.36 is what percent of 74.586 - 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 74.586 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 74.586, so we can write it down as 100%=74.586.
4. We know, that x% equals 69.36 of the output value, so we can write it down as x%=69.36.
5. Now we have two simple equations:
1) 100%=74.586
2) x%=69.36
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%=74.586/69.36
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 69.36 is what percent of 74.586

100%/x%=74.586/69.36
(100/x)*x=(74.586/69.36)*x       - we multiply both sides of the equation by x
100=1.0753460207612*x       - we divide both sides of the equation by (1.0753460207612) to get x
100/1.0753460207612=x
92.993323143754=x
x=92.993323143754

now we have:
69.36 is 92.993323143754% of 74.586