100.15 is what percent of 131.8 - 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 131.8 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 131.8, so we can write it down as 100%=131.8.
4. We know, that x% equals 100.15 of the output value, so we can write it down as x%=100.15.
5. Now we have two simple equations:
1) 100%=131.8
2) x%=100.15
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%=131.8/100.15
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 100.15 is what percent of 131.8

100%/x%=131.8/100.15
(100/x)*x=(131.8/100.15)*x       - we multiply both sides of the equation by x
100=1.3160259610584*x       - we divide both sides of the equation by (1.3160259610584) to get x
100/1.3160259610584=x
75.986342943854=x
x=75.986342943854

now we have:
100.15 is 75.986342943854% of 131.8