804.95 is what percent of 967.5 - 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 967.5 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 967.5, so we can write it down as 100%=967.5.
4. We know, that x% equals 804.95 of the output value, so we can write it down as x%=804.95.
5. Now we have two simple equations:
1) 100%=967.5
2) x%=804.95
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%=967.5/804.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 804.95 is what percent of 967.5

100%/x%=967.5/804.95
(100/x)*x=(967.5/804.95)*x       - we multiply both sides of the equation by x
100=1.201938008572*x       - we divide both sides of the equation by (1.201938008572) to get x
100/1.201938008572=x
83.198966408269=x
x=83.198966408269

now we have:
804.95 is 83.198966408269% of 967.5