418.84 is what percent of 1351.75 - 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 1351.75 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 1351.75, so we can write it down as 100%=1351.75.
4. We know, that x% equals 418.84 of the output value, so we can write it down as x%=418.84.
5. Now we have two simple equations:
1) 100%=1351.75
2) x%=418.84
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%=1351.75/418.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 418.84 is what percent of 1351.75

100%/x%=1351.75/418.84
(100/x)*x=(1351.75/418.84)*x       - we multiply both sides of the equation by x
100=3.2273660586381*x       - we divide both sides of the equation by (3.2273660586381) to get x
100/3.2273660586381=x
30.985019419271=x
x=30.985019419271

now we have:
418.84 is 30.985019419271% of 1351.75