65.6 is what percent of 75.4 - 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 75.4 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 75.4, so we can write it down as 100%=75.4.
4. We know, that x% equals 65.6 of the output value, so we can write it down as x%=65.6.
5. Now we have two simple equations:
1) 100%=75.4
2) x%=65.6
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%=75.4/65.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 65.6 is what percent of 75.4

100%/x%=75.4/65.6
(100/x)*x=(75.4/65.6)*x       - we multiply both sides of the equation by x
100=1.1493902439024*x       - we divide both sides of the equation by (1.1493902439024) to get x
100/1.1493902439024=x
87.002652519894=x
x=87.002652519894

now we have:
65.6 is 87.002652519894% of 75.4