47.31 is what percent of 2570 - 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 2570 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 2570, so we can write it down as 100%=2570.
4. We know, that x% equals 47.31 of the output value, so we can write it down as x%=47.31.
5. Now we have two simple equations:
1) 100%=2570
2) x%=47.31
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%=2570/47.31
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 47.31 is what percent of 2570

100%/x%=2570/47.31
(100/x)*x=(2570/47.31)*x       - we multiply both sides of the equation by x
100=54.32255337138*x       - we divide both sides of the equation by (54.32255337138) to get x
100/54.32255337138=x
1.8408560311284=x
x=1.8408560311284

now we have:
47.31 is 1.8408560311284% of 2570