53 is what percent of 454.5 - 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 454.5 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 454.5, so we can write it down as 100%=454.5.
4. We know, that x% equals 53 of the output value, so we can write it down as x%=53.
5. Now we have two simple equations:
1) 100%=454.5
2) x%=53
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%=454.5/53
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 53 is what percent of 454.5

100%/x%=454.5/53
(100/x)*x=(454.5/53)*x       - we multiply both sides of the equation by x
100=8.5754716981132*x       - we divide both sides of the equation by (8.5754716981132) to get x
100/8.5754716981132=x
11.661166116612=x
x=11.661166116612

now we have:
53 is 11.661166116612% of 454.5