64.25 is what percent of 36.2 - 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 36.2 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 36.2, so we can write it down as 100%=36.2.
4. We know, that x% equals 64.25 of the output value, so we can write it down as x%=64.25.
5. Now we have two simple equations:
1) 100%=36.2
2) x%=64.25
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%=36.2/64.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 64.25 is what percent of 36.2

100%/x%=36.2/64.25
(100/x)*x=(36.2/64.25)*x       - we multiply both sides of the equation by x
100=0.56342412451362*x       - we divide both sides of the equation by (0.56342412451362) to get x
100/0.56342412451362=x
177.4861878453=x
x=177.4861878453

now we have:
64.25 is 177.4861878453% of 36.2