21 is what percent of 2540 - 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 2540 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 2540, so we can write it down as 100%=2540.
4. We know, that x% equals 21 of the output value, so we can write it down as x%=21.
5. Now we have two simple equations:
1) 100%=2540
2) x%=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%=2540/21
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 21 is what percent of 2540

100%/x%=2540/21
(100/x)*x=(2540/21)*x       - we multiply both sides of the equation by x
100=120.95238095238*x       - we divide both sides of the equation by (120.95238095238) to get x
100/120.95238095238=x
0.82677165354331=x
x=0.82677165354331

now we have:
21 is 0.82677165354331% of 2540