270.61 is what percent of 383 - 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 383 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 383, so we can write it down as 100%=383.
4. We know, that x% equals 270.61 of the output value, so we can write it down as x%=270.61.
5. Now we have two simple equations:
1) 100%=383
2) x%=270.61
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%=383/270.61
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 270.61 is what percent of 383

100%/x%=383/270.61
(100/x)*x=(383/270.61)*x       - we multiply both sides of the equation by x
100=1.4153209415764*x       - we divide both sides of the equation by (1.4153209415764) to get x
100/1.4153209415764=x
70.655352480418=x
x=70.655352480418

now we have:
270.61 is 70.655352480418% of 383