628.5 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 628.5 of the output value, so we can write it down as x%=628.5.
5. Now we have two simple equations:
1) 100%=670
2) x%=628.5
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%=670/628.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 628.5 is what percent of 670

100%/x%=670/628.5
(100/x)*x=(670/628.5)*x       - we multiply both sides of the equation by x
100=1.066030230708*x       - we divide both sides of the equation by (1.066030230708) to get x
100/1.066030230708=x
93.805970149254=x
x=93.805970149254

now we have:
628.5 is 93.805970149254% of 670