138.48 is what percent of 842.45 - 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 842.45 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 842.45, so we can write it down as 100%=842.45.
4. We know, that x% equals 138.48 of the output value, so we can write it down as x%=138.48.
5. Now we have two simple equations:
1) 100%=842.45
2) x%=138.48
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%=842.45/138.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 138.48 is what percent of 842.45

100%/x%=842.45/138.48
(100/x)*x=(842.45/138.48)*x       - we multiply both sides of the equation by x
100=6.083549971115*x       - we divide both sides of the equation by (6.083549971115) to get x
100/6.083549971115=x
16.437770787584=x
x=16.437770787584

now we have:
138.48 is 16.437770787584% of 842.45