242.17 is what percent of 1061.52 - 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 1061.52 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 1061.52, so we can write it down as 100%=1061.52.
4. We know, that x% equals 242.17 of the output value, so we can write it down as x%=242.17.
5. Now we have two simple equations:
1) 100%=1061.52
2) x%=242.17
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%=1061.52/242.17
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 242.17 is what percent of 1061.52

100%/x%=1061.52/242.17
(100/x)*x=(1061.52/242.17)*x       - we multiply both sides of the equation by x
100=4.3833670562002*x       - we divide both sides of the equation by (4.3833670562002) to get x
100/4.3833670562002=x
22.813512698772=x
x=22.813512698772

now we have:
242.17 is 22.813512698772% of 1061.52