138.25 is what percent of 210.25 - 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 210.25 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 210.25, so we can write it down as 100%=210.25.
4. We know, that x% equals 138.25 of the output value, so we can write it down as x%=138.25.
5. Now we have two simple equations:
1) 100%=210.25
2) x%=138.25
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%=210.25/138.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 138.25 is what percent of 210.25

100%/x%=210.25/138.25
(100/x)*x=(210.25/138.25)*x       - we multiply both sides of the equation by x
100=1.5207956600362*x       - we divide both sides of the equation by (1.5207956600362) to get x
100/1.5207956600362=x
65.755053507729=x
x=65.755053507729

now we have:
138.25 is 65.755053507729% of 210.25