456.45 is what percent of 1030 - 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 1030 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 1030, so we can write it down as 100%=1030.
4. We know, that x% equals 456.45 of the output value, so we can write it down as x%=456.45.
5. Now we have two simple equations:
1) 100%=1030
2) x%=456.45
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%=1030/456.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 456.45 is what percent of 1030

100%/x%=1030/456.45
(100/x)*x=(1030/456.45)*x       - we multiply both sides of the equation by x
100=2.256545076131*x       - we divide both sides of the equation by (2.256545076131) to get x
100/2.256545076131=x
44.315533980583=x
x=44.315533980583

now we have:
456.45 is 44.315533980583% of 1030