469.2 is what percent of 138 - 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 138 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 138, so we can write it down as 100%=138.
4. We know, that x% equals 469.2 of the output value, so we can write it down as x%=469.2.
5. Now we have two simple equations:
1) 100%=138
2) x%=469.2
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%=138/469.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 469.2 is what percent of 138

100%/x%=138/469.2
(100/x)*x=(138/469.2)*x       - we multiply both sides of the equation by x
100=0.29411764705882*x       - we divide both sides of the equation by (0.29411764705882) to get x
100/0.29411764705882=x
340=x
x=340

now we have:
469.2 is 340% of 138