70.7 is what percent of 80 - 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 80 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 80, so we can write it down as 100%=80.
4. We know, that x% equals 70.7 of the output value, so we can write it down as x%=70.7.
5. Now we have two simple equations:
1) 100%=80
2) x%=70.7
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%=80/70.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 70.7 is what percent of 80

100%/x%=80/70.7
(100/x)*x=(80/70.7)*x       - we multiply both sides of the equation by x
100=1.1315417256011*x       - we divide both sides of the equation by (1.1315417256011) to get x
100/1.1315417256011=x
88.375=x
x=88.375

now we have:
70.7 is 88.375% of 80