27.58 is what percent of 42900 - 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 42900 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 42900, so we can write it down as 100%=42900.
4. We know, that x% equals 27.58 of the output value, so we can write it down as x%=27.58.
5. Now we have two simple equations:
1) 100%=42900
2) x%=27.58
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%=42900/27.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 27.58 is what percent of 42900

100%/x%=42900/27.58
(100/x)*x=(42900/27.58)*x       - we multiply both sides of the equation by x
100=1555.4749818709*x       - we divide both sides of the equation by (1555.4749818709) to get x
100/1555.4749818709=x
0.064289044289044=x
x=0.064289044289044

now we have:
27.58 is 0.064289044289044% of 42900