428.23 is what percent of 630.03 - 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 630.03 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 630.03, so we can write it down as 100%=630.03.
4. We know, that x% equals 428.23 of the output value, so we can write it down as x%=428.23.
5. Now we have two simple equations:
1) 100%=630.03
2) x%=428.23
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%=630.03/428.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 428.23 is what percent of 630.03

100%/x%=630.03/428.23
(100/x)*x=(630.03/428.23)*x       - we multiply both sides of the equation by x
100=1.4712420895313*x       - we divide both sides of the equation by (1.4712420895313) to get x
100/1.4712420895313=x
67.969779216863=x
x=67.969779216863

now we have:
428.23 is 67.969779216863% of 630.03