64.9 is what percent of 82.43 - 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 82.43 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 82.43, so we can write it down as 100%=82.43.
4. We know, that x% equals 64.9 of the output value, so we can write it down as x%=64.9.
5. Now we have two simple equations:
1) 100%=82.43
2) x%=64.9
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%=82.43/64.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 64.9 is what percent of 82.43

100%/x%=82.43/64.9
(100/x)*x=(82.43/64.9)*x       - we multiply both sides of the equation by x
100=1.2701078582435*x       - we divide both sides of the equation by (1.2701078582435) to get x
100/1.2701078582435=x
78.733470823729=x
x=78.733470823729

now we have:
64.9 is 78.733470823729% of 82.43