6.45 is what percent of 445.23 - 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 445.23 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 445.23, so we can write it down as 100%=445.23.
4. We know, that x% equals 6.45 of the output value, so we can write it down as x%=6.45.
5. Now we have two simple equations:
1) 100%=445.23
2) x%=6.45
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%=445.23/6.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.45 is what percent of 445.23

100%/x%=445.23/6.45
(100/x)*x=(445.23/6.45)*x       - we multiply both sides of the equation by x
100=69.027906976744*x       - we divide both sides of the equation by (69.027906976744) to get x
100/69.027906976744=x
1.4486894414123=x
x=1.4486894414123

now we have:
6.45 is 1.4486894414123% of 445.23