101.15 is what percent of 269.76 - 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 269.76 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 269.76, so we can write it down as 100%=269.76.
4. We know, that x% equals 101.15 of the output value, so we can write it down as x%=101.15.
5. Now we have two simple equations:
1) 100%=269.76
2) x%=101.15
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%=269.76/101.15
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 101.15 is what percent of 269.76

100%/x%=269.76/101.15
(100/x)*x=(269.76/101.15)*x       - we multiply both sides of the equation by x
100=2.6669303015324*x       - we divide both sides of the equation by (2.6669303015324) to get x
100/2.6669303015324=x
37.496293001186=x
x=37.496293001186

now we have:
101.15 is 37.496293001186% of 269.76