What is 26.826 percent of 175 - 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 175 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 175 is 100%, so we can write it down as 175=100%.
4. We know, that x is 26.826% of the output value, so we can write it down as x=26.826%.
5. Now we have two simple equations:
1) 175=100%
2) x=26.826%
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:
175/x=100%/26.826%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 26.826% of 175

175/x=100/26.826
(175/x)*x=(100/26.826)*x       - we multiply both sides of the equation by x
175=3.7277268321777*x       - we divide both sides of the equation by (3.7277268321777) to get x
175/3.7277268321777=x
46.9455=x
x=46.9455

now we have:
26.826% of 175=46.9455