501.05 is what percent of 673.9 - 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 673.9 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 673.9, so we can write it down as 100%=673.9.
4. We know, that x% equals 501.05 of the output value, so we can write it down as x%=501.05.
5. Now we have two simple equations:
1) 100%=673.9
2) x%=501.05
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%=673.9/501.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 501.05 is what percent of 673.9

100%/x%=673.9/501.05
(100/x)*x=(673.9/501.05)*x       - we multiply both sides of the equation by x
100=1.3449755513422*x       - we divide both sides of the equation by (1.3449755513422) to get x
100/1.3449755513422=x
74.350793886333=x
x=74.350793886333

now we have:
501.05 is 74.350793886333% of 673.9