0.87 is what percent of 0.97 - 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 0.97 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 0.97, so we can write it down as 100%=0.97.
4. We know, that x% equals 0.87 of the output value, so we can write it down as x%=0.87.
5. Now we have two simple equations:
1) 100%=0.97
2) x%=0.87
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%=0.97/0.87
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.87 is what percent of 0.97

100%/x%=0.97/0.87
(100/x)*x=(0.97/0.87)*x       - we multiply both sides of the equation by x
100=1.1149425287356*x       - we divide both sides of the equation by (1.1149425287356) to get x
100/1.1149425287356=x
89.690721649485=x
x=89.690721649485

now we have:
0.87 is 89.690721649485% of 0.97