26.6 is what percent of 46.7 - 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 46.7 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 46.7, so we can write it down as 100%=46.7.
4. We know, that x% equals 26.6 of the output value, so we can write it down as x%=26.6.
5. Now we have two simple equations:
1) 100%=46.7
2) x%=26.6
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%=46.7/26.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 26.6 is what percent of 46.7

100%/x%=46.7/26.6
(100/x)*x=(46.7/26.6)*x       - we multiply both sides of the equation by x
100=1.7556390977444*x       - we divide both sides of the equation by (1.7556390977444) to get x
100/1.7556390977444=x
56.959314775161=x
x=56.959314775161

now we have:
26.6 is 56.959314775161% of 46.7