What is 49.814814814815 percent of 270 - 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 270 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 270 is 100%, so we can write it down as 270=100%.
4. We know, that x is 49.814814814815% of the output value, so we can write it down as x=49.814814814815%.
5. Now we have two simple equations:
1) 270=100%
2) x=49.814814814815%
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:
270/x=100%/49.814814814815%
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 49.814814814815% of 270

270/x=100/49.814814814815
(270/x)*x=(100/49.814814814815)*x       - we multiply both sides of the equation by x
270=2.0074349442379*x       - we divide both sides of the equation by (2.0074349442379) to get x
270/2.0074349442379=x
134.5=x
x=134.5

now we have:
49.814814814815% of 270=134.5