138225.6 is what percent of 97.5 - 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 97.5 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 97.5, so we can write it down as 100%=97.5.
4. We know, that x% equals 138225.6 of the output value, so we can write it down as x%=138225.6.
5. Now we have two simple equations:
1) 100%=97.5
2) x%=138225.6
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%=97.5/138225.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 138225.6 is what percent of 97.5

100%/x%=97.5/138225.6
(100/x)*x=(97.5/138225.6)*x       - we multiply both sides of the equation by x
100=0.00070536861478626*x       - we divide both sides of the equation by (0.00070536861478626) to get x
100/0.00070536861478626=x
141769.84615385=x
x=141769.84615385

now we have:
138225.6 is 141769.84615385% of 97.5