23.7 is what percent of 210 - 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 210 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 210, so we can write it down as 100%=210.
4. We know, that x% equals 23.7 of the output value, so we can write it down as x%=23.7.
5. Now we have two simple equations:
1) 100%=210
2) x%=23.7
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%=210/23.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 23.7 is what percent of 210

100%/x%=210/23.7
(100/x)*x=(210/23.7)*x       - we multiply both sides of the equation by x
100=8.8607594936709*x       - we divide both sides of the equation by (8.8607594936709) to get x
100/8.8607594936709=x
11.285714285714=x
x=11.285714285714

now we have:
23.7 is 11.285714285714% of 210