450.42 is what percent of 10.5 - 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 10.5 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 10.5, so we can write it down as 100%=10.5.
4. We know, that x% equals 450.42 of the output value, so we can write it down as x%=450.42.
5. Now we have two simple equations:
1) 100%=10.5
2) x%=450.42
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%=10.5/450.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 450.42 is what percent of 10.5

100%/x%=10.5/450.42
(100/x)*x=(10.5/450.42)*x       - we multiply both sides of the equation by x
100=0.023311575862528*x       - we divide both sides of the equation by (0.023311575862528) to get x
100/0.023311575862528=x
4289.7142857143=x
x=4289.7142857143

now we have:
450.42 is 4289.7142857143% of 10.5