429.8 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 429.8 of the output value, so we can write it down as x%=429.8.
5. Now we have two simple equations:
1) 100%=454
2) x%=429.8
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%=454/429.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 429.8 is what percent of 454

100%/x%=454/429.8
(100/x)*x=(454/429.8)*x       - we multiply both sides of the equation by x
100=1.0563052582597*x       - we divide both sides of the equation by (1.0563052582597) to get x
100/1.0563052582597=x
94.669603524229=x
x=94.669603524229

now we have:
429.8 is 94.669603524229% of 454