456.2 is what percent of 807.8 - 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 807.8 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 807.8, so we can write it down as 100%=807.8.
4. We know, that x% equals 456.2 of the output value, so we can write it down as x%=456.2.
5. Now we have two simple equations:
1) 100%=807.8
2) x%=456.2
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%=807.8/456.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 456.2 is what percent of 807.8

100%/x%=807.8/456.2
(100/x)*x=(807.8/456.2)*x       - we multiply both sides of the equation by x
100=1.7707145988601*x       - we divide both sides of the equation by (1.7707145988601) to get x
100/1.7707145988601=x
56.474374845259=x
x=56.474374845259

now we have:
456.2 is 56.474374845259% of 807.8