271.02 is what percent of 4335.87 - 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 4335.87 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 4335.87, so we can write it down as 100%=4335.87.
4. We know, that x% equals 271.02 of the output value, so we can write it down as x%=271.02.
5. Now we have two simple equations:
1) 100%=4335.87
2) x%=271.02
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%=4335.87/271.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 271.02 is what percent of 4335.87

100%/x%=4335.87/271.02
(100/x)*x=(4335.87/271.02)*x       - we multiply both sides of the equation by x
100=15.998339605933*x       - we divide both sides of the equation by (15.998339605933) to get x
100/15.998339605933=x
6.2506486587467=x
x=6.2506486587467

now we have:
271.02 is 6.2506486587467% of 4335.87