142.21 is what percent of 671.13 - 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 671.13 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 671.13, so we can write it down as 100%=671.13.
4. We know, that x% equals 142.21 of the output value, so we can write it down as x%=142.21.
5. Now we have two simple equations:
1) 100%=671.13
2) x%=142.21
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%=671.13/142.21
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 142.21 is what percent of 671.13

100%/x%=671.13/142.21
(100/x)*x=(671.13/142.21)*x       - we multiply both sides of the equation by x
100=4.7192883763448*x       - we divide both sides of the equation by (4.7192883763448) to get x
100/4.7192883763448=x
21.189635391057=x
x=21.189635391057

now we have:
142.21 is 21.189635391057% of 671.13