38.4 is what percent of 64.9 - 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 64.9 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 64.9, so we can write it down as 100%=64.9.
4. We know, that x% equals 38.4 of the output value, so we can write it down as x%=38.4.
5. Now we have two simple equations:
1) 100%=64.9
2) x%=38.4
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%=64.9/38.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 38.4 is what percent of 64.9

100%/x%=64.9/38.4
(100/x)*x=(64.9/38.4)*x       - we multiply both sides of the equation by x
100=1.6901041666667*x       - we divide both sides of the equation by (1.6901041666667) to get x
100/1.6901041666667=x
59.167950693374=x
x=59.167950693374

now we have:
38.4 is 59.167950693374% of 64.9