0.64 is what percent of 1.86 - 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 1.86 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 1.86, so we can write it down as 100%=1.86.
4. We know, that x% equals 0.64 of the output value, so we can write it down as x%=0.64.
5. Now we have two simple equations:
1) 100%=1.86
2) x%=0.64
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%=1.86/0.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.64 is what percent of 1.86

100%/x%=1.86/0.64
(100/x)*x=(1.86/0.64)*x       - we multiply both sides of the equation by x
100=2.90625*x       - we divide both sides of the equation by (2.90625) to get x
100/2.90625=x
34.408602150538=x
x=34.408602150538

now we have:
0.64 is 34.408602150538% of 1.86