70.75 is what percent of 71.07 - 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 71.07 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 71.07, so we can write it down as 100%=71.07.
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%=71.07
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%=71.07/70.75
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 71.07

100%/x%=71.07/70.75
(100/x)*x=(71.07/70.75)*x       - we multiply both sides of the equation by x
100=1.0045229681979*x       - we divide both sides of the equation by (1.0045229681979) to get x
100/1.0045229681979=x
99.54973969326=x
x=99.54973969326

now we have:
70.75 is 99.54973969326% of 71.07