64.76 is what percent of 335.23 - 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 335.23 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 335.23, so we can write it down as 100%=335.23.
4. We know, that x% equals 64.76 of the output value, so we can write it down as x%=64.76.
5. Now we have two simple equations:
1) 100%=335.23
2) x%=64.76
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%=335.23/64.76
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 64.76 is what percent of 335.23

100%/x%=335.23/64.76
(100/x)*x=(335.23/64.76)*x       - we multiply both sides of the equation by x
100=5.1764978381717*x       - we divide both sides of the equation by (5.1764978381717) to get x
100/5.1764978381717=x
19.318080124094=x
x=19.318080124094

now we have:
64.76 is 19.318080124094% of 335.23