70 is what percent of 279.21 - 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 279.21 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 279.21, so we can write it down as 100%=279.21.
4. We know, that x% equals 70 of the output value, so we can write it down as x%=70.
5. Now we have two simple equations:
1) 100%=279.21
2) x%=70
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%=279.21/70
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 70 is what percent of 279.21

100%/x%=279.21/70
(100/x)*x=(279.21/70)*x       - we multiply both sides of the equation by x
100=3.9887142857143*x       - we divide both sides of the equation by (3.9887142857143) to get x
100/3.9887142857143=x
25.070735288851=x
x=25.070735288851

now we have:
70 is 25.070735288851% of 279.21