33.63 is what percent of 1124.42 - 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 1124.42 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 1124.42, so we can write it down as 100%=1124.42.
4. We know, that x% equals 33.63 of the output value, so we can write it down as x%=33.63.
5. Now we have two simple equations:
1) 100%=1124.42
2) x%=33.63
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%=1124.42/33.63
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 33.63 is what percent of 1124.42

100%/x%=1124.42/33.63
(100/x)*x=(1124.42/33.63)*x       - we multiply both sides of the equation by x
100=33.435028248588*x       - we divide both sides of the equation by (33.435028248588) to get x
100/33.435028248588=x
2.990875295708=x
x=2.990875295708

now we have:
33.63 is 2.990875295708% of 1124.42