37.99 is what percent of 450 - 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 450 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 450, so we can write it down as 100%=450.
4. We know, that x% equals 37.99 of the output value, so we can write it down as x%=37.99.
5. Now we have two simple equations:
1) 100%=450
2) x%=37.99
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%=450/37.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 37.99 is what percent of 450

100%/x%=450/37.99
(100/x)*x=(450/37.99)*x       - we multiply both sides of the equation by x
100=11.845222426954*x       - we divide both sides of the equation by (11.845222426954) to get x
100/11.845222426954=x
8.4422222222222=x
x=8.4422222222222

now we have:
37.99 is 8.4422222222222% of 450