261.4 is what percent of 427.1 - 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 427.1 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 427.1, so we can write it down as 100%=427.1.
4. We know, that x% equals 261.4 of the output value, so we can write it down as x%=261.4.
5. Now we have two simple equations:
1) 100%=427.1
2) x%=261.4
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%=427.1/261.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 261.4 is what percent of 427.1

100%/x%=427.1/261.4
(100/x)*x=(427.1/261.4)*x       - we multiply both sides of the equation by x
100=1.6338944146901*x       - we divide both sides of the equation by (1.6338944146901) to get x
100/1.6338944146901=x
61.203465230625=x
x=61.203465230625

now we have:
261.4 is 61.203465230625% of 427.1