0.64 is what percent of 1.71 - 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 1.71 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 1.71, so we can write it down as 100%=1.71.
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%=1.71
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%=1.71/0.64
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 1.71

100%/x%=1.71/0.64
(100/x)*x=(1.71/0.64)*x       - we multiply both sides of the equation by x
100=2.671875*x       - we divide both sides of the equation by (2.671875) to get x
100/2.671875=x
37.426900584795=x
x=37.426900584795

now we have:
0.64 is 37.426900584795% of 1.71