75.74 is what percent of 79.86 - 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 79.86 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 79.86, so we can write it down as 100%=79.86.
4. We know, that x% equals 75.74 of the output value, so we can write it down as x%=75.74.
5. Now we have two simple equations:
1) 100%=79.86
2) x%=75.74
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%=79.86/75.74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 75.74 is what percent of 79.86

100%/x%=79.86/75.74
(100/x)*x=(79.86/75.74)*x       - we multiply both sides of the equation by x
100=1.0543966200158*x       - we divide both sides of the equation by (1.0543966200158) to get x
100/1.0543966200158=x
94.840971700476=x
x=94.840971700476

now we have:
75.74 is 94.840971700476% of 79.86