418.17 is what percent of 1242.98 - 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 1242.98 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 1242.98, so we can write it down as 100%=1242.98.
4. We know, that x% equals 418.17 of the output value, so we can write it down as x%=418.17.
5. Now we have two simple equations:
1) 100%=1242.98
2) x%=418.17
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%=1242.98/418.17
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 418.17 is what percent of 1242.98

100%/x%=1242.98/418.17
(100/x)*x=(1242.98/418.17)*x       - we multiply both sides of the equation by x
100=2.9724274816462*x       - we divide both sides of the equation by (2.9724274816462) to get x
100/2.9724274816462=x
33.642536484899=x
x=33.642536484899

now we have:
418.17 is 33.642536484899% of 1242.98