21.4 is what percent of 70.875 - 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 70.875 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 70.875, so we can write it down as 100%=70.875.
4. We know, that x% equals 21.4 of the output value, so we can write it down as x%=21.4.
5. Now we have two simple equations:
1) 100%=70.875
2) x%=21.4
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%=70.875/21.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 21.4 is what percent of 70.875

100%/x%=70.875/21.4
(100/x)*x=(70.875/21.4)*x       - we multiply both sides of the equation by x
100=3.3119158878505*x       - we divide both sides of the equation by (3.3119158878505) to get x
100/3.3119158878505=x
30.194003527337=x
x=30.194003527337

now we have:
21.4 is 30.194003527337% of 70.875