64.42 is what percent of 1002.8 - 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 1002.8 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 1002.8, so we can write it down as 100%=1002.8.
4. We know, that x% equals 64.42 of the output value, so we can write it down as x%=64.42.
5. Now we have two simple equations:
1) 100%=1002.8
2) x%=64.42
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%=1002.8/64.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 64.42 is what percent of 1002.8

100%/x%=1002.8/64.42
(100/x)*x=(1002.8/64.42)*x       - we multiply both sides of the equation by x
100=15.566594225396*x       - we divide both sides of the equation by (15.566594225396) to get x
100/15.566594225396=x
6.4240127642601=x
x=6.4240127642601

now we have:
64.42 is 6.4240127642601% of 1002.8