What is 70.7 percent of 64 - 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 64 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 64 is 100%, so we can write it down as 64=100%.
4. We know, that x is 70.7% of the output value, so we can write it down as x=70.7%.
5. Now we have two simple equations:
1) 64=100%
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:
64/x=100%/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 what is 70.7% of 64

64/x=100/70.7
(64/x)*x=(100/70.7)*x       - we multiply both sides of the equation by x
64=1.4144271570014*x       - we divide both sides of the equation by (1.4144271570014) to get x
64/1.4144271570014=x
45.248=x
x=45.248

now we have:
70.7% of 64=45.248