21 is what percent of 26.7 - 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 26.7 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 26.7, so we can write it down as 100%=26.7.
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%=26.7
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%=26.7/21
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 26.7

100%/x%=26.7/21
(100/x)*x=(26.7/21)*x       - we multiply both sides of the equation by x
100=1.2714285714286*x       - we divide both sides of the equation by (1.2714285714286) to get x
100/1.2714285714286=x
78.651685393258=x
x=78.651685393258

now we have:
21 is 78.651685393258% of 26.7