270.2 is what percent of 361 - 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 361 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 361, so we can write it down as 100%=361.
4. We know, that x% equals 270.2 of the output value, so we can write it down as x%=270.2.
5. Now we have two simple equations:
1) 100%=361
2) x%=270.2
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%=361/270.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 270.2 is what percent of 361

100%/x%=361/270.2
(100/x)*x=(361/270.2)*x       - we multiply both sides of the equation by x
100=1.3360473723168*x       - we divide both sides of the equation by (1.3360473723168) to get x
100/1.3360473723168=x
74.847645429363=x
x=74.847645429363

now we have:
270.2 is 74.847645429363% of 361