454.5 is what percent of 670 - 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 670 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 670, so we can write it down as 100%=670.
4. We know, that x% equals 454.5 of the output value, so we can write it down as x%=454.5.
5. Now we have two simple equations:
1) 100%=670
2) x%=454.5
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%=670/454.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 454.5 is what percent of 670

100%/x%=670/454.5
(100/x)*x=(670/454.5)*x       - we multiply both sides of the equation by x
100=1.4741474147415*x       - we divide both sides of the equation by (1.4741474147415) to get x
100/1.4741474147415=x
67.835820895522=x
x=67.835820895522

now we have:
454.5 is 67.835820895522% of 670