267.75 is what percent of 856.5 - 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 856.5 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 856.5, so we can write it down as 100%=856.5.
4. We know, that x% equals 267.75 of the output value, so we can write it down as x%=267.75.
5. Now we have two simple equations:
1) 100%=856.5
2) x%=267.75
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%=856.5/267.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 267.75 is what percent of 856.5

100%/x%=856.5/267.75
(100/x)*x=(856.5/267.75)*x       - we multiply both sides of the equation by x
100=3.1988795518207*x       - we divide both sides of the equation by (3.1988795518207) to get x
100/3.1988795518207=x
31.260945709282=x
x=31.260945709282

now we have:
267.75 is 31.260945709282% of 856.5