540.35 is what percent of 788.46 - 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 788.46 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 788.46, so we can write it down as 100%=788.46.
4. We know, that x% equals 540.35 of the output value, so we can write it down as x%=540.35.
5. Now we have two simple equations:
1) 100%=788.46
2) x%=540.35
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%=788.46/540.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 540.35 is what percent of 788.46

100%/x%=788.46/540.35
(100/x)*x=(788.46/540.35)*x       - we multiply both sides of the equation by x
100=1.4591653557879*x       - we divide both sides of the equation by (1.4591653557879) to get x
100/1.4591653557879=x
68.532328843568=x
x=68.532328843568

now we have:
540.35 is 68.532328843568% of 788.46