271.74 is what percent of 670.32 - 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 670.32 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 670.32, so we can write it down as 100%=670.32.
4. We know, that x% equals 271.74 of the output value, so we can write it down as x%=271.74.
5. Now we have two simple equations:
1) 100%=670.32
2) x%=271.74
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%=670.32/271.74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 271.74 is what percent of 670.32

100%/x%=670.32/271.74
(100/x)*x=(670.32/271.74)*x       - we multiply both sides of the equation by x
100=2.4667697063369*x       - we divide both sides of the equation by (2.4667697063369) to get x
100/2.4667697063369=x
40.538847117794=x
x=40.538847117794

now we have:
271.74 is 40.538847117794% of 670.32