75.42 is what percent of 74.669 - 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 74.669 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 74.669, so we can write it down as 100%=74.669.
4. We know, that x% equals 75.42 of the output value, so we can write it down as x%=75.42.
5. Now we have two simple equations:
1) 100%=74.669
2) x%=75.42
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%=74.669/75.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 75.42 is what percent of 74.669

100%/x%=74.669/75.42
(100/x)*x=(74.669/75.42)*x       - we multiply both sides of the equation by x
100=0.99004242906391*x       - we divide both sides of the equation by (0.99004242906391) to get x
100/0.99004242906391=x
101.00577214105=x
x=101.00577214105

now we have:
75.42 is 101.00577214105% of 74.669