242.66 is what percent of 1515.21 - 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 1515.21 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 1515.21, so we can write it down as 100%=1515.21.
4. We know, that x% equals 242.66 of the output value, so we can write it down as x%=242.66.
5. Now we have two simple equations:
1) 100%=1515.21
2) x%=242.66
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%=1515.21/242.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 242.66 is what percent of 1515.21

100%/x%=1515.21/242.66
(100/x)*x=(1515.21/242.66)*x       - we multiply both sides of the equation by x
100=6.244168795846*x       - we divide both sides of the equation by (6.244168795846) to get x
100/6.244168795846=x
16.014941823246=x
x=16.014941823246

now we have:
242.66 is 16.014941823246% of 1515.21