643.78 is what percent of 969.09 - 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 969.09 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 969.09, so we can write it down as 100%=969.09.
4. We know, that x% equals 643.78 of the output value, so we can write it down as x%=643.78.
5. Now we have two simple equations:
1) 100%=969.09
2) x%=643.78
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%=969.09/643.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 643.78 is what percent of 969.09

100%/x%=969.09/643.78
(100/x)*x=(969.09/643.78)*x       - we multiply both sides of the equation by x
100=1.5053123737923*x       - we divide both sides of the equation by (1.5053123737923) to get x
100/1.5053123737923=x
66.431394400933=x
x=66.431394400933

now we have:
643.78 is 66.431394400933% of 969.09