355.7 is what percent of 27155.7 - 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 27155.7 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 27155.7, so we can write it down as 100%=27155.7.
4. We know, that x% equals 355.7 of the output value, so we can write it down as x%=355.7.
5. Now we have two simple equations:
1) 100%=27155.7
2) x%=355.7
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%=27155.7/355.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 355.7 is what percent of 27155.7

100%/x%=27155.7/355.7
(100/x)*x=(27155.7/355.7)*x       - we multiply both sides of the equation by x
100=76.344391341018*x       - we divide both sides of the equation by (76.344391341018) to get x
100/76.344391341018=x
1.309853916489=x
x=1.309853916489

now we have:
355.7 is 1.309853916489% of 27155.7