27 is what percent of 1426 - 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 1426 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 1426, so we can write it down as 100%=1426.
4. We know, that x% equals 27 of the output value, so we can write it down as x%=27.
5. Now we have two simple equations:
1) 100%=1426
2) x%=27
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%=1426/27
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 27 is what percent of 1426

100%/x%=1426/27
(100/x)*x=(1426/27)*x       - we multiply both sides of the equation by x
100=52.814814814815*x       - we divide both sides of the equation by (52.814814814815) to get x
100/52.814814814815=x
1.8934081346424=x
x=1.8934081346424

now we have:
27 is 1.8934081346424% of 1426