0.33 is what percent of 64.71 - 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 64.71 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 64.71, so we can write it down as 100%=64.71.
4. We know, that x% equals 0.33 of the output value, so we can write it down as x%=0.33.
5. Now we have two simple equations:
1) 100%=64.71
2) x%=0.33
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%=64.71/0.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.33 is what percent of 64.71

100%/x%=64.71/0.33
(100/x)*x=(64.71/0.33)*x       - we multiply both sides of the equation by x
100=196.09090909091*x       - we divide both sides of the equation by (196.09090909091) to get x
100/196.09090909091=x
0.5099675475197=x
x=0.5099675475197

now we have:
0.33 is 0.5099675475197% of 64.71