70.75 is what percent of 72 - 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 72 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 72, so we can write it down as 100%=72.
4. We know, that x% equals 70.75 of the output value, so we can write it down as x%=70.75.
5. Now we have two simple equations:
1) 100%=72
2) x%=70.75
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%=72/70.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 70.75 is what percent of 72

100%/x%=72/70.75
(100/x)*x=(72/70.75)*x       - we multiply both sides of the equation by x
100=1.017667844523*x       - we divide both sides of the equation by (1.017667844523) to get x
100/1.017667844523=x
98.263888888889=x
x=98.263888888889

now we have:
70.75 is 98.263888888889% of 72