374.29 is what percent of 13633 - 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 13633 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 13633, so we can write it down as 100%=13633.
4. We know, that x% equals 374.29 of the output value, so we can write it down as x%=374.29.
5. Now we have two simple equations:
1) 100%=13633
2) x%=374.29
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%=13633/374.29
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 374.29 is what percent of 13633

100%/x%=13633/374.29
(100/x)*x=(13633/374.29)*x       - we multiply both sides of the equation by x
100=36.423628737076*x       - we divide both sides of the equation by (36.423628737076) to get x
100/36.423628737076=x
2.7454705494022=x
x=2.7454705494022

now we have:
374.29 is 2.7454705494022% of 13633