485.38 is what percent of 607.67 - 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 607.67 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 607.67, so we can write it down as 100%=607.67.
4. We know, that x% equals 485.38 of the output value, so we can write it down as x%=485.38.
5. Now we have two simple equations:
1) 100%=607.67
2) x%=485.38
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%=607.67/485.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 485.38 is what percent of 607.67

100%/x%=607.67/485.38
(100/x)*x=(607.67/485.38)*x       - we multiply both sides of the equation by x
100=1.25194692818*x       - we divide both sides of the equation by (1.25194692818) to get x
100/1.25194692818=x
79.875590369773=x
x=79.875590369773

now we have:
485.38 is 79.875590369773% of 607.67