What is 207.5 percent of 267.5 - 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 267.5 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 267.5 is 100%, so we can write it down as 267.5=100%.
4. We know, that x is 207.5% of the output value, so we can write it down as x=207.5%.
5. Now we have two simple equations:
1) 267.5=100%
2) x=207.5%
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:
267.5/x=100%/207.5%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 207.5% of 267.5

267.5/x=100/207.5
(267.5/x)*x=(100/207.5)*x       - we multiply both sides of the equation by x
267.5=0.48192771084337*x       - we divide both sides of the equation by (0.48192771084337) to get x
267.5/0.48192771084337=x
555.0625=x
x=555.0625

now we have:
207.5% of 267.5=555.0625