502.74 is what percent of 470.4 - 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 470.4 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 470.4, so we can write it down as 100%=470.4.
4. We know, that x% equals 502.74 of the output value, so we can write it down as x%=502.74.
5. Now we have two simple equations:
1) 100%=470.4
2) x%=502.74
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%=470.4/502.74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 502.74 is what percent of 470.4

100%/x%=470.4/502.74
(100/x)*x=(470.4/502.74)*x       - we multiply both sides of the equation by x
100=0.93567251461988*x       - we divide both sides of the equation by (0.93567251461988) to get x
100/0.93567251461988=x
106.875=x
x=106.875

now we have:
502.74 is 106.875% of 470.4