89.99 is what percent of 449.99 - 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 449.99 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 449.99, so we can write it down as 100%=449.99.
4. We know, that x% equals 89.99 of the output value, so we can write it down as x%=89.99.
5. Now we have two simple equations:
1) 100%=449.99
2) x%=89.99
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%=449.99/89.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 89.99 is what percent of 449.99

100%/x%=449.99/89.99
(100/x)*x=(449.99/89.99)*x       - we multiply both sides of the equation by x
100=5.0004444938326*x       - we divide both sides of the equation by (5.0004444938326) to get x
100/5.0004444938326=x
19.998222182715=x
x=19.998222182715

now we have:
89.99 is 19.998222182715% of 449.99