26.7 is what percent of 1021.56 - 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 1021.56 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 1021.56, so we can write it down as 100%=1021.56.
4. We know, that x% equals 26.7 of the output value, so we can write it down as x%=26.7.
5. Now we have two simple equations:
1) 100%=1021.56
2) x%=26.7
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%=1021.56/26.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 26.7 is what percent of 1021.56

100%/x%=1021.56/26.7
(100/x)*x=(1021.56/26.7)*x       - we multiply both sides of the equation by x
100=38.260674157303*x       - we divide both sides of the equation by (38.260674157303) to get x
100/38.260674157303=x
2.6136497122049=x
x=2.6136497122049

now we have:
26.7 is 2.6136497122049% of 1021.56