454.8 is what percent of 645.8 - 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 645.8 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 645.8, so we can write it down as 100%=645.8.
4. We know, that x% equals 454.8 of the output value, so we can write it down as x%=454.8.
5. Now we have two simple equations:
1) 100%=645.8
2) x%=454.8
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%=645.8/454.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 454.8 is what percent of 645.8

100%/x%=645.8/454.8
(100/x)*x=(645.8/454.8)*x       - we multiply both sides of the equation by x
100=1.419964819701*x       - we divide both sides of the equation by (1.419964819701) to get x
100/1.419964819701=x
70.424279962837=x
x=70.424279962837

now we have:
454.8 is 70.424279962837% of 645.8