39.95 is what percent of 454 - 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 454 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 454, so we can write it down as 100%=454.
4. We know, that x% equals 39.95 of the output value, so we can write it down as x%=39.95.
5. Now we have two simple equations:
1) 100%=454
2) x%=39.95
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%=454/39.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 39.95 is what percent of 454

100%/x%=454/39.95
(100/x)*x=(454/39.95)*x       - we multiply both sides of the equation by x
100=11.364205256571*x       - we divide both sides of the equation by (11.364205256571) to get x
100/11.364205256571=x
8.7995594713656=x
x=8.7995594713656

now we have:
39.95 is 8.7995594713656% of 454