374.33 is what percent of 4218.44 - 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 4218.44 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 4218.44, so we can write it down as 100%=4218.44.
4. We know, that x% equals 374.33 of the output value, so we can write it down as x%=374.33.
5. Now we have two simple equations:
1) 100%=4218.44
2) x%=374.33
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%=4218.44/374.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 374.33 is what percent of 4218.44

100%/x%=4218.44/374.33
(100/x)*x=(4218.44/374.33)*x       - we multiply both sides of the equation by x
100=11.26930782999*x       - we divide both sides of the equation by (11.26930782999) to get x
100/11.26930782999=x
8.8736594570505=x
x=8.8736594570505

now we have:
374.33 is 8.8736594570505% of 4218.44