340.2 is what percent of 502.68 - 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 502.68 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 502.68, so we can write it down as 100%=502.68.
4. We know, that x% equals 340.2 of the output value, so we can write it down as x%=340.2.
5. Now we have two simple equations:
1) 100%=502.68
2) x%=340.2
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%=502.68/340.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 340.2 is what percent of 502.68

100%/x%=502.68/340.2
(100/x)*x=(502.68/340.2)*x       - we multiply both sides of the equation by x
100=1.4776014109347*x       - we divide both sides of the equation by (1.4776014109347) to get x
100/1.4776014109347=x
67.67724994032=x
x=67.67724994032

now we have:
340.2 is 67.67724994032% of 502.68