347.6 is what percent of 1044.4 - 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 1044.4 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 1044.4, so we can write it down as 100%=1044.4.
4. We know, that x% equals 347.6 of the output value, so we can write it down as x%=347.6.
5. Now we have two simple equations:
1) 100%=1044.4
2) x%=347.6
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%=1044.4/347.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 347.6 is what percent of 1044.4

100%/x%=1044.4/347.6
(100/x)*x=(1044.4/347.6)*x       - we multiply both sides of the equation by x
100=3.0046029919448*x       - we divide both sides of the equation by (3.0046029919448) to get x
100/3.0046029919448=x
33.282267330525=x
x=33.282267330525

now we have:
347.6 is 33.282267330525% of 1044.4