312.25 is what percent of 368.75 - 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 368.75 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 368.75, so we can write it down as 100%=368.75.
4. We know, that x% equals 312.25 of the output value, so we can write it down as x%=312.25.
5. Now we have two simple equations:
1) 100%=368.75
2) x%=312.25
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%=368.75/312.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 312.25 is what percent of 368.75

100%/x%=368.75/312.25
(100/x)*x=(368.75/312.25)*x       - we multiply both sides of the equation by x
100=1.1809447558046*x       - we divide both sides of the equation by (1.1809447558046) to get x
100/1.1809447558046=x
84.677966101695=x
x=84.677966101695

now we have:
312.25 is 84.677966101695% of 368.75