261.56 is what percent of 1418.25 - 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 1418.25 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 1418.25, so we can write it down as 100%=1418.25.
4. We know, that x% equals 261.56 of the output value, so we can write it down as x%=261.56.
5. Now we have two simple equations:
1) 100%=1418.25
2) x%=261.56
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%=1418.25/261.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 261.56 is what percent of 1418.25

100%/x%=1418.25/261.56
(100/x)*x=(1418.25/261.56)*x       - we multiply both sides of the equation by x
100=5.4222740480196*x       - we divide both sides of the equation by (5.4222740480196) to get x
100/5.4222740480196=x
18.442446677243=x
x=18.442446677243

now we have:
261.56 is 18.442446677243% of 1418.25